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QNT 275 Week 2 Homework Problem Set Excel
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1. In a hearing test, subjects estimate the
loudness (in decibels) of a sound, and the
results are 69, 67, 71, 72, 65, 75, 68, 68, 83,
73, 68.
Calculate the measures of central tendency (Mean,
median, mode) and the measures of dispersion
(range, standard deviation, variance).
2.
2
The local amusement park was interested in the
average wait time at their most popular roller
coaster at the peak park time (2 p.m.). They
selected 13 patrons and had them get in line
between 2 and 3 p.m. Each was given a stopwatch
to record the time they spent in line. The times
recorded were as follows (in minutes).
117, 123, 110, 117, 99, 120, 148, 118, 119, 120,
45, 130, 118
What is the 72d percentile?
3. The average life of Canadian women is 73.90
years, and the standard deviation of the life
expectancy of Canadian women is 9 years. Based on
Chebyshev's Theorem, determine the upper and
lower bounds on the
3
average life expectancy of Canadian women such
that at least 95 percent of the population is
included if the sample size is 100 women.
4. The local amusement park was interested in
the average wait time at their most popular
roller coaster at the peak park time (2 p.m.).
They selected 13 patrons and had them get in
line between 2 and 3 p.m. Each was given a
stopwatch to record the time they spent in line.
The times recorded were as follows (in minutes)
118, 121, 114, 116, 110, 120, 145, 118, 119, 121,
45, 135, 118.
Calculate the measures of central tendency (Mean,
median, mode) and the measures of dispersion
(range, standard deviation, variance).
5.
4
The average lateness for one of the top airline
companies is 10 minutes. The variance of the
lateness measure is calculated as 8. An airplane
arrived 12 minutes after the stated arrival time.
Calculate the z-score for the lateness of this
particular airplane.
6. According to a survey of the top 15
employers in a major city in the Midwest, a
worker spends an average of 400 minutes a day on
the job. Suppose the standard deviation is 20
minutes and the time spent is approximately a
normal distribution.
What are the times within which approximately
99.73 percent of all workers will fall?
7.
5
Recently an advertising company called 200 people
and asked them to identify the company that was
in an ad running nationwide. The following
results were obtained. What percentage of those
surveyed could not correctly recall the company?
8. A local electronics retailer recently
conducted a study on purchasers of large screen
televisions. The study recorded the type of
television and the credit account balance of the
customer at the time of purchase. They obtained
the following results. What percentage of
purchases were plasma televisions by customers
with the smallest credit balances?
9.
6
The following is a partial relative frequency
distribution of grades in an introductory
statistics course. Find the relative frequency
for the B grade.
10 A CFO is looking at what percentage of a
company's resources are spent on computing. He
samples companies in the pharmaceutical industry
and develops the following stem-and-leaf
graph. What would be the class length used in
creating a frequency histogram? ..................
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......................................... QNT 275
Week 3 Homework Problem Set Excel File For more
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1.
7
A survey is made in a neighborhood of 90 voters.
75 are Democrats and 15 are Republicans. Of the
Democrats, 30 are women, while 7 of the
Republicans are women. If one subject from the
group is randomly selected, find the probability
the individual is a male Republican.
2. Container 1 has 8 items, 3 of which are
defective. Container 2 has 5 items, 3 of which
are defective. If one item is drawn from each
container, what is the probability that only one
of the items is defective?
3. A letter is drawn from the alphabet of 26
letters. What is the probability that the letter
drawn is a vowel?
8
4. A family has two children. What is the
probability that both are girls, given that at
least one is a girl?
5. If n 29 and p .6, then the standard
deviation of the binomial distribution is
9
6. Consider a Poisson distribution with an
average of 4 customers per minute at the local
grocery store. If X the number of arrivals per
minute, find the probability of more than 6
customers arriving within a minute.
7. An important part of the customer service
responsibilities of a cable company is the speed
with which trouble in service can be repaired.
Historically, the data show that the likelihood
is 0.70 that troubles in a residential service
can be repaired on the same day. For the first
four troubles reported on a given day, what is
the probability that all four will be repaired
on the same day?
10
8. Suppose that the waiting time for a license
plate renewal at a local office of a state motor
vehicle department has been found to be normally
distributed with a mean of 29 minutes and a
standard deviation of 6 minutes. Suppose that in
an effort to provide better service to the
public, the director of the local office is
permitted to provide discounts to those
individuals whose waiting time exceeds a
predetermined time. The director decides that 10
percent of the customers should receive this
discount. What number of minutes do they need to
wait to receive the discount?
9. An apple juice producer buys all his apples
from a conglomerate of apple growers in one
northwestern state. The amount of juice obtained
from each of these apples is approximately
normally distributed with a mean of 2.38 ounces
and a standard deviation of 0.1 ounce. What is
the probability that a randomly selected apple
will contain more than 2.40 ounces?
10
11
While conducting experiments, a marine biologist
selects water depths from a uniformly
distributed collection that vary between 2.00 m
and 8.00 m. What is the probability that a
randomly selected depth is between 2.25 m and
5.00 m? ..........................................
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................. QNT 275 Week 4 Homework
Problem Set Excel File For more course tutorials
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1. A sample of 100 items has a population
standard deviation of 5.9 and a mean of 32.
Construct a 95 percent confidence interval for µ.
2.
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At the end of 1990, 1991, and 1992, the average
prices of a share of stock in a portfolio were
34.75, 34.65, and 31.25 respectively. To
investigate the average share price at the end of
1993, a random sample of 75 stocks was drawn and
their closing prices on the last trading day of
1993 were observed with a mean of 33.78 and a
standard deviation of 14.25. Estimate the average
price of a share of stock in the portfolio at
the end of 1993 with a 90 percent confidence
interval.
3. A research study investigated differences
between male and female students. Based on the
study results, we can assume the population mean
and standard deviation for the GPA of male
students are µ 3.3 and s 0.3. Suppose a
random sample of 1200 male students is selected
and the GPA for each student is calculated. Find
the interval that contains 90 percent of the
sample means for male students.
4. A manufacturing company measures the weight
of boxes before shipping them to the customers.
If the box weights have a population mean of 80
lb and standard deviation of 6 lb, respectively,
then based on
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a sample size of 100 boxes, what is the
probability that the average weight of the boxes
will exceed 83 lb?
5. A random sample of size 100 is taken from a
population with mean 64 and standard deviation
5.2. Find P(x bar lt 60). .........................
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.................................. QNT 275T Apply
Week 1 Connect Exercise (All Possible Question
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Week 1 Connect Exercise (All Possible Question
Answers) QNT/275T
14
College entrance exam scores, such as SAT scores,
are an example of a(n) variable.
is a necessary component of a runs plot. Jersey
numbers of soccer players is an example of a(n)
variable.
An identification of police officers by rank
would represent a(n) level of measurement.
A is a set of assumptions about how sample data
are selected and about the population from which
the sample data are selected.
A person's telephone area code is an example of
a(n) variable.
Which of the following is a quantitative varible?
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Which of the following is not a supervised
learning technique in predictive analytics? Any
characteristic of an element is called a .
uses traditional or newer graphics to present
visual summaries of business information. is a
necessary component of a runs plot. A(n)
variable can have values that indicates into
which of several categories of a population it
belongs A is a set of assumptions about how
sample data are selected and about the
population from which the sample data are
selected. Examining all population measurements
is called a . sampling is where we know the
chance that each element will be included in the
sample, Which allows us to make statistical
inferences about the sample population.
Statistical refers to using a sample of
measurements and making generalizations about
the important aspects of population. A yes or no
question is . The two types of quantitative
variables are Which of the following is a
categorical variable?
16
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......... QNT 275T Apply Week 2 Connect Exercise
(All Possible Question Answers) For more course
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1) An interval that contains a specified
percentage of the individual measurements is
called a(n) interval.
2) A CFO is looking at what percentage of a
company's resources are spent on computing. He
samples companies in the pharmaceutical industry
and develops the following stem-and-leaf graph.
17
What would be the class length used in creating a
frequency histogram?
3) When grouping a large sample of measurements
into classes, the is a better tool than the .
4) All of the following are measures of central
tendency except the .
18
5) The average lateness for one of the top
airline companies is 10 minutes. The variance of
the lateness measure is calculated as 9. An
airplane arrived 13 minutes after the stated
arrival time. Calculate the z- score for the
lateness of this particular airplane.
6) If a population distribution is skewed to the
right, then, given a random sample from that
population, one would expect that the .
7) Local electronics retailer recently conducted
a study on purchasers of large screen
televisions. The study recorded the type of
television and the credit account balance of the
customer at the time of purchase. They obtained
the following results.
19
What percentage of purchases were plasma
televisions by customers with the smallest
credit balances?
8) Which of the following graphical tools is not
used to study the shapes of distributions?
9) A flaw possessed by a population or sample
unit is .
20
10) A relative frequency curve having a long tail
to the right is said to be .
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Wk 2 Apply Week 2 Connect Exercise (All
Possible Question Answers)
1. A flaw possessed by a population or sample
unit is .
2. The average lateness for one of the top
airline companies is 10 minutes. The variance of
the lateness measure is calculated as 9. An
airplane arrived 13 minutes after the stated
arrival time. Calculate the z- score for the
lateness of this particular airplane.
3. The following is a partial relative frequency
distribution of grades in an introductory
statistics course.
22
Find the relative frequency for the B grade.
4. The average life of Canadian women is 73.75
years, and the standard deviation of the life
expectancy of Canadian women is 6.5 years. Based
on Chebyshev's Theorem, determine the upper and
lower bounds on the average life expectancy of
Canadian women such that at least 90 percent of
the population is included.
23
5. The Rivertown city council is attempting to
choose one of four sites (A, B, C, or D) as the
location for its new emergency facility. After
the new emergency facility becomes available for
service, the current emergency facility will be
shut down. The project manager has estimated the
following response times in minutes from each of
the proposed sites to the four areas that must
be served by the emergency facility.
The number of emergency runs from the current
emergency facility to each of the four areas
over the past year is as follows
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6. Compute the weighted mean response time from
the proposed locations and determine which
proposed site should be selected for the new
emergency facility.
7. Which of the following graphical tools is not
used to study the shapes of distributions?
8.
A histogram that tails out toward smaller values
is .
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9. Which of the following is not a graphical tool
for descriptive analytics (dashboards)?
10. When grouping a large sample of measurements
into classes, the is a better tool than the .
11. A very simple graph that can be used to
summarize a quantitative data set is called a(n)
.
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QNT 275T Apply Week 3 Connect Exercise (All
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Week 3 Quiz Consider a standard deck of 52
playing cards, a randomly selected card from the
deck, and the following events R red, B
black, A ace, N nine, D diamond, and C
club. Are D and C mutually exclusive? Yes,
mutually exclusive.
27
If the mileage per gallon for a car is normally
distributed, 32 mpg has a z score of 1.2, and 24
mpg has a z score of -.4, what is the mean mpg of
the distribution?
The life of a light bulb is exponentially
distributed with a mean of 1,000 hours. What is
the probability that the bulb will last less than
800 hours?
A letter is drawn from the alphabet of 26
letters. What is the probability that the letter
drawn is a vowel?
A survey is made in a neighborhood of 80 voters.
65 are Democrats and 15 are Republicans. Of the
Democrats, 35 are women, while 5 of the
28
Republicans are women. If one subject from the
group is randomly selected, find the probability
the individual is a male Republican.
Suppose that the waiting time for a license plate
renewal at a local office of a state motor
vehicle department has been found to be normally
distributed with a mean of 30 minutes and a
standard deviation of 8 minutes. Suppose that in
an effort to provide better service to the
public, the director of the local office is
permitted to provide discounts to those
individuals whose waiting time exceeds a
predetermined time. The director decides that 15
percent of the customers should receive this
discount. What number of minutes do they need to
wait to receive the discount?
Container 1 has 8 items, 3 of which are
defective. Container 2 has 5 items, 2 of which
are defective. If one item is drawn from each
container, what is the probability that only one
of the items is defective?
29
If n 15 and p .4, then the standard deviation
of the binomial distribution is
Assume the number of trucks passing an
intersection has a Poisson distribution with a
mean of 5 trucks per minute. What is the
probability of 0 or 1 trucks in one minute?
Consider a Poisson distribution with an average
of 3 customers per minute at the local grocery
store. If X the number of arrivals per minute,
find the probability of more than 7 customers
arriving within a minute.
30
QNT 275 Week 3 Apply Assignment
1. Consider a Poisson distribution with an
average of 3 customers per minute at the local
grocery store. If X the number of arrivals per
minute, find the probability of more than 7
customers arriving within a minute. .0216 .00
81 .0108 .0118
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Explanation (P (X 8) .0081 .0027 .0008
.0002 .0118?
2. Consider a standard deck of 52 playing cards,
a randomly selected card from the deck, and the
following events R red, B black, A ace, N
nine, D diamond, and C club. Are D and C
mutually exclusive?
Yes, mutually exclusive. No, not mutually
exclusive.
32
3. The probability that an appliance is currently
being repaired is .5. If an apartment complex
has 100 such appliances, what is the probability
that at least 60 are currently being repaired?
Use the normal approximation to the binomial.
.5000 .0287 .6000 .9713
Explanation z (59.5 - (.5) (100)/v(.5)(.5)(100
) 1.9 P (z 1.9) 1 - 0.9713 0.0287
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4. Consider a Poisson distribution with an
average of 3 customers per minute at the local
grocery store. If X the number of arrivals per
minute, find the expected value of X.
3 9 1.5 1.7
5. While conducting experiments, a marine
biologist selects water depths from a uniformly
distributed collection that vary between 2.00 m
and 7.00 m. What is the probability that a
randomly selected depth is between 2.25 m and
5.00 m?
34
.79 .45 .55 .50
Explanation P (2.25 x 5) (5 - 2.25)/(7.0 -
2.0) 2.75/5 .55
35
6. If the random variable x is normally
distributed, percent of all possible observed
values of x will be within three standard
deviations of the mean.
68.26 95.44 99.73 100 None of the other
choices is correct.
7. For a binomial process, the probability of
success is 40 percent and the number of trials
is 5. Find the variance.
36
5.0 1.2 2.0 1.1
Explanation s2x (5) (.4) (.6) 1.2
8. Employees of a local university have been
classified according to gender and job type.
37
If an employee is selected at random, what is the
probability that the employee is a member of the
hourly staff, given that the employee is female?
0.400 0.133 0.160
38
0.053 0.533
Explanation
9. For a binomial process, the probability of
success is 40 percent and the number of trials
is 5. Find P (X 1). rev 01_31_2019_QC_CS-1562
53 .0870
39
.2592 .0778 .3370
Explanation P(X 1) P(X 0) P(X 1)
(.0778) (.2592) .337
10. Container 1 has 8 items, 3 of which are
defective. Container 2 has 5 items, 2 of which
are defective. If one item is drawn from each
container, what is the probability that only one
of the items is defective?
40
0.2250 0.3000 0.0250 0.4000 0.1500
Explanation
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......... QNT 275T Apply Week 4 Connect
Exercise (All Possible Question Answers)
41
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QNT 275T Apply Week 4 Connect Exercise (All
Possible Question Answers)
1) A sample of 100 items has a population
standard deviation of 5.1 and a mean of 21.6.
Construct a 95 percent confidence interval for µ.
2) Recently, a case of food poisoning was traced
to a particular restaurant chain. The source was
identified and corrective actions were taken to
make sure that the food poisoning would not
reoccur. Despite the response from the
restaurant chain, many consumers refused to visit
the restaurant for some time after the event. A
survey was conducted three months after the food
poisoning occurred, with a sample of 319
42
former customers contacted. Of the 319 contacted,
29 indicated that they would not go back to the
restaurant because of the potential for food
poisoning. Construct a 95 percent confidence
interval for the true proportion of the market
who still refuse to visit any of the restaurants
in the chain three months after the event.
3) A research study investigated differences
between male and female students. Based on the
study results, we can assume the population mean
and standard deviation for the GPA of male
students are µ 3.5 and s 0.5. Suppose a
random sample of 100 male students is selected
and the GPA for each student is calculated. Find
the interval that contains 95.44 percent of the
sample means for male students.
43
4) f the sampled population is finite and at
least times larger than the sample size, we
treat the population as infinite.
20
5) For the following hypothesis test, where H0 µ
10 vs. HA µ gt 10, we reject H0 at level of
significance a and conclude that the true mean
is greater than 10, when the true mean is really
8. Based on this information, we can state that
we have
44
6) The of a sample statistic is the probability
distribution of the population of all possible
values of the sample statistic.
7) The t distribution approaches the
distribution as the sample size .
8) If the sampled population has a mean of 48 and
standard deviation of 16, then the mean and the
standard deviation for the sampling distribution
of xx for n 16 are
45
9)
The value of ?2a in a particular situation
depends on
10) Assuming that the null hypothesis is
true, the is the probability of observing a
value of the test statistic that is at least as
extreme as the value actually computed from the
sample data.
11) The width of a confidence interval will be
46
12) A sample of 100 items has a population
standard deviation of 51 and a mean of 216
construct a 95 percent confidence interval for M.
13) Recently a case of food poisoning was traced
to a particular restaurant chain. The source was
identified and corrective actions were taken to
make sure that the food poisoning would not
reoccur. Despite the response from the
restaurant chain, many consumers refused to visit
the restaurant for some time after the event. A
survey was conducted three months after the food
poisioning occurred, with a sample of 319 former
customers contacted. Of the 319 contacted, 29
indicated that they would not go back to the
restaurant because of the potential for food
poisioning. Construct a 95 percent confidence
interval for the true propotion of the market
who still refuse to visit any of the restaurants
in the chain three months after the event.
47
14) A manufacturing company measures the weight
of boxes before shopping them to the customers.
If the box weights have a population mean and
standard deviation of 90 Ib and 24 Ib,
respectively, then based on a sample size of 36
boxes. What is the probability that the average
weight of the boxes will exceed 94 Ib?
15) The number of defectives in 10 different
samples of 100 observations each is the
following 1,2,1,0,2,3,1,4,2,1. What is the
estimate of the population proportion of
defectives?
48
15) A research study investigated differences
between male and female students. Based on the
study results, we can assume the population mean
and standard deviation for the GPA of male
students are µ3.5 and s0.05, Suppose a random
sample of 100 male students is selected and the
GPA for each student is calculated. What is the
probability that the random sample of 100 male
students has means GPA greater than 3.42?
16) A researcher for a paint company is measuring
the level of a certain chemical contained in a
particular type of paint. If the paint contains
too much of this chemical, the quality of the
paint will be compromised. On average, each can
of paint contains 10 percent of the chemical.
How many cans of paint should the sample contain
if the researcher wants to be 98 percent certain
of being within 1 percent of the true proportion
of this chemical?
49
17) A random sample of size 36 is taken from a
population with mean 50 and standard deviation
5. Find p(xlt5t.5)
18) Using the critical value rule, if a two-sided
null hypothesis is rejected for a single mean at
a given significance level, the corresponding
one-sided null hypothesis (i.e.,the same sample
size, the same standard deviation, and the same
means)will be rejected at the same significance
level.
50
19) If the sampled population has a mean of 48
and standard deviation of 16, then the mean and
the standard deviation for the sampling
distribution of x for n16 are ...................
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QNT 275T Apply Week 5 Connect Exercise (All
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QNT 275T Apply Week 5 Connect Exercise (All
Possible Question Answers)
51
1) When the assumption of residuals (error
terms) is violated, the Durbin-Watson statistic
is used to test to determine if there is
significant among the residuals.
2) In a simple linear regression analysis, the
correlation coefficient (r) and the slope (b)
have the same sign.
Always
52
3)
XYZ Company, Annual Data
4)
The simple linear regression (least squares
method) minimizes
5) When using simple exponential smoothing, the
value of the smoothing constant a cannot be
negative or
53
6) If the Durbin-Watson statistic is greater than
(4 - dL), then we conclude that
7) In a simple regression analysis for a given
data set, if the null hypothesis ß 0 is
rejected, then the null hypothesis ? 0 is also
rejected. This statement is true.
54
8) The demand for a product for the last six
years has been 15, 15, 17, 18, 20, and 19. The
manager wants to predict the demand for this
time series using the following simple linear
trend equation trt 12 2t. What are the
forecast errors for the 5th and 6th years?
9) In performing a chi-square goodness-of-fit
test for a normal distribution, a researcher
wants to make sure that all of the expected cell
55
frequencies are at least five. The sample is
divided into 7 intervals. The second through the
sixth intervals all have expected cell
frequencies of at least five. The first and the
last intervals have expected cell frequencies of
1.5 each. After adjusting the number of
intervals, the degrees of freedom for the
chi-square statistic is .
10) The chi-square goodness-of-fit test for
multinomial probabilities with 5 categories has
degrees of freedom.
11) When we carry out a chi-square test of
independence, the alternate hypothesis states
that the two relevant classifications
56
12) In a simple regression analysis for a given
data set, if the null hypothesis ß0 is
rejected, then the null hypothesis p0 is also
rejected. This statement is true.
13) The strength of the relationship between two
quantitative variables can be measured by
14) A real estates company is analyzing the
selling prices of residential homes in a given
community, 140 homes that have been said
57
in the past month are randomly selected and their
selling prices are recorded. The statistician
working on the project has started that in order
to perform various stastical tests, the data must
be distributed according to a normal
distribution. In order to determine whether the
selling prices of homes included in the random
sample are normally distributed, the
statistician divides the data into 6 classes of
equal size and records the number of
observations in each class. She then performs a
chi-square goodness-of-fit test for normal
distribution. The results are summarized in the
following tables.
What is the appropriate null hypothesis?
15) XYZ company, Annual data
Actual demand
Forecasted demand
58
15 14
15 16
17 18
18 20
20 22
21 24
Based on the information given in the table
above,we can conclude that, in general,
59
16) The chi-square goodness-of-fit test
multinomial probabilities with 5 categories has
degress of freedom.
17) In a simple linear regression analysis, the
correlation coefficient and slope have the same
sign.
60
18) When a binomial distribution describes count
data that can be classified into one of two
mutually exclusive categories, a distribution
describes count data that are classified into
more than two mutually exclusive categories.
19) Suppose that the unadjusted seasonal factor
for the month of April is 100. The sum of the 12
months unadjusted seasonal factor values is
12.18. The normalized(adjusted) seasonal factor
value for April
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QNT 275T Week 1 Discussion Statistics Tools QNT
275T Week 1 Practice Knowledge Check QNT 275T
Apply Week 1 Connect Exercise QNT 275T Week 2
Discussion Charts
QNT 275T Apply Week 2 Connect Exercise QNT 275T
Week 2 Practice Knowledge Check QNT 275T Week 3
Discussion Sales Training
QNT 275T Apply Week 3 Connect Exercise
62
QNT 275T Week 3 Practice Knowledge Check QNT
275T Week 4 Discussion Income and Insurance
QNT 275T Week 4 Practice Knowledge Check QNT
275T Apply Week 4 Connect Exercise QNT 275T
Week 5 Discussion The Tasty Sub Shop Case and The
QHIC Case
QNT 275T Apply Week 5 Connect Exercise QNT 275T
Week 5 Practice Knowledge Check
63
QNT 275 Week 2 Homework Problem Set Excel
File QNT 275 Week 3 Homework Problem Set Excel
File QNT 275 Week 4 Homework Problem Set Excel
File .............................................
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.............. QNT 275T Week 1 Discussion
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QNT 275T Week 1 Discussion Statistics Tools
Post a total of 3 substantive responses over 2
separate days for full participation. This
includes your initial post and 2 replies to other
students. Due Thursday
64
Respond to the following in a minimum of 175
words Review the Discussion FAQs Module.
Choose one statistical tool that you read about
this week. Consider a decision you need to make
at work or at home. Explain how this tool will
help you make that decision. Note This must be
original do not use examples from the
internet. Due Monday Reply to at least two of
your classmates. Be constructive and
professional in your responses. ..................
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......................................... QNT
275T Week 1 Practice Knowledge Check (All
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QNT 275T Week 1 Practice Knowledge Check (All
Possible Question Answers)
65
1) A sequence of operations that takes inputs and
turns them into outputs is a .
2)
Time series data are data collected at the same
time period.
66
3)
Cross-sectional data are data collected at the
same point in time.
4) The number of sick days taken by employees in
2008 for the top 10 technology companies is an
example of time series data.
5)
Any characteristic of an element is called a .
67
6) uses traditional or newer graphics to
present visual summaries of business information.
7) Daily temperature in a local community
collected over a 30-day time period is an
example of cross-sectional data.
68
8) Secondary data are data taken from an existing
source. ..........................................
..................................................
......................... ........................
................. QNT 275T Week 2 Discussion
Charts For more course tutorials visit
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QNT 275T Week 2 Discussion Charts Post a total
of 3 substantive responses over 2 separate days
for full participation. This includes your
initial post and 2 replies to other
students. Due Thursday Respond to the
following in a minimum of 175 words Review the
Discussion FAQs Module. Research the internet for
an example of a pie chart or bar chart. Post a
copy along with its source.
69
Include a question regarding the chart for your
classmates to respond to. Respond to a
classmates question Due Monday Reply to at
least two of your classmates. Be constructive and
professional in your responses. .................
..................................................
..................................................
......................................... QNT
275T Week 2 Practice Knowledge Check (All
Possible Question Answers) For more course
tutorials visit
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Wk 2 Practice Week 2 Knowledge Check (All
Possible Question Answers) 1. In a statistics
class, the following 10 scores were randomly
selected 74, 73, 77, 77, 71, 68, 65, 77, 67,
66. What is the median?
70
77.0 73.0 72.0 71.0 71.5 To calculate
median, put data measurements in ascending order.
The median for an even number of measurements is
the average of the middle two measurements
(7173)/2
2. The company financial officer was interested
in the average cost of PCs that had been
purchased in the past six months. She took a
random sample of the price of 10 computers, with
the following results.
71
3,250, 1,127, 2,995, 3,250, 3,445, 3,449,
1,482, 6,120, 3,009, 4,000 What is the IQR?
3. Which of the following is not a graphical tool
for descriptive analytics (dashboards)?
4. All of the following are measures of central
tendency except the .
72
5. The stem-and-leaf display is advantageous
because it allows us to actually see the
measurements in the data set. False
6. In a hearing test, subjects estimate the
loudness (in decibels) of a sound, and the
results are 68, 67, 70, 71, 68, 75, 68, 62, 80,
73, 68. What is the mean?
7. A quantity that measures the variation of a
population or a sample relative to its mean is
called the .
73
variance coefficient of variation range standard
deviation interquartile range
8. The local amusement park was interested in the
average wait time at their most popular roller
coaster at the peak park time (2 p.m.). They
selected 13 patrons and had them get in line
between 2 and 3 p.m. Each was given a stopwatch
to record the time they spent in line. The times
recorded were as follows (in minutes) 118, 124,
108, 116, 99, 120, 148, 118, 119, 121, 45, 130,
118. What is the mode? 118
74
114.15 148 45 115.5 Mode is the value(s)
that appears most frequently mode 118 (occurs
three times).
75
1) The local amusement park was interested in the
average wait time at their most popular roller
coaster at the peak park time (2 p.m.). They
selected 13 patrons and had them get in line
between 2 and 3 p.m. Each was given a stopwatch
to record the time they spent in line. The times
recorded were as follows (in minutes). 118,
124, 108, 116, 99, 120, 148, 118, 119, 121, 45,
130, 118 What is the IQR?
28
2) The local amusement park was interested in the
average wait time at their most popular roller
coaster at the peak park time (2 p.m.). They
selected 13 patrons and had them get in line
between 2 and 3 p.m.
76
Each was given a stopwatch to record the time
they spent in line. The times recorded were as
follows (in minutes) 118, 124, 108, 116,
99, 120, 148, 118, 119, 121, 45, 130, 118. What
is the median?
118
3) Quality control is an important issue at ACME
Company, which manufactures light bulbs. Totest
the life-hours of their light bulbs, they
randomly sampled nine light bulbs and measured
how many hours they lasted 378, 361, 350, 375,
200, 391, 375, 368, 321. What is the mode?
375
77
4) In a hearing test, subjects estimate the
loudness (in decibels) of a sound, and the
results are 68, 67, 70, 71, 68, 75, 68, 62, 80,
73, 68. What is the mean?
5) Quality control is an important issue at ACME
Company, which manufactures light bulbs. To test
the life-hours of their light bulbs, they
randomly sampled nine light bulbs and measured
how many hours they lasted 378, 361, 350, 375,
200, 391, 375, 368, 321. What is the median?
78
6) When establishing the classes for a frequency
table, it is generally agreed that the more
classes you use the better your frequency table
will be.
7) Quality control is an important issue at ACME
Company, which manufactures light bulbs. To test
the life-hours of their light bulbs, they
randomly sampled nine light bulbs and measured
how many hours they lasted 378, 361, 350, 375,
200, 391, 375, 368, 321. What is the mean?
79
8)
Which percentile describes the first quartile, Q1?
9) Quality control is an important issue at ACME
Company, which manufactures light bulbs. To test
the life-hours of their light bulbs, they
randomly sampled nine light bulbs and measured
how many hours they lasted (mean
346.6). 378, 361, 350, 375, 200, 391, 375, 368,
321 What is the range?
80
10) Personnel managers usually want to know where
a job applicant ranked in his or her graduating
class. With a grade point average of 3.83,
Michelle Robinson graduated above the 93rd
percentile of her graduating class. What is the
percentile rank of a student whose GPA was the
median GPA.
11) In the least squares line, is defined as
rise/run. ........................................
..................................................
........................... ......................
................... QNT 275T Week 3 Discussion
Sales Training For more course tutorials visit
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QNT 275T Week 3 Discussion Sales Training Post
a total of 3 substantive responses over 2
separate days for full participation. This
includes your initial post and 2 replies to other
students.
81

• Due Thursday
• Respond to the following in a minimum of 175
  words
• A company employs 400 salespeople. Of these, 83
  received a bonus last year, 100 attended a
  special sales training program at the beginning
  of last year, and 42 both attended the special
  sales training program and received a bonus.
  (Note the bonus was based totally on sales
  performance.)
• What proportion of the 400 salespeople received a
  bonus last year?
• What proportion of the 400 salespeople attended
  the special sales training program at the
  beginning of last year?
• What proportion of the 400 salespeople both
  attended the special sales training program and
  received a bonus?
• What proportion of the salespeople who attended
  the special sales training program received a
  bonus?

82
e) Based on your answers to parts a and d, does
the special sales training program seem to have
been effective? Explain your answer. Due
Monday Reply to at least two of your
classmates. Be constructive and professional in
your responses. ..................................
..................................................
................................. ................
......................... QNT 275T Week 3
Practice Knowledge Check (All Possible Question
Answers) For more course tutorials visit
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Week 3 Knowledge Check (All Possible Question
Answers)
83
In a local survey, 100 citizens indicated their
opinions on a revision to a local land-use plan.
Of the 62 persons giving favorable responses, 40
were males. Of the 38 giving unfavorable
responses, 15 were males. If one citizen is
randomly selected, find the probability that
person is male and has a favorable opinion.
The set of all possible outcomes for an
experiment is called a(n) .
Probabilities must be assigned to each sample
space outcome so that the probabilities of all
the sample space outcomes add up to .
84
New car owners were asked to evaluate their
experiences in buying a new car during the past
12 months. In the survey, the owners indicated
they were most satisfied with their experiences
at the following three dealers (in no particular
order) Subaru, Honda, and Buick. Assuming that
each set of rankings is equally likely, what is
the probability that owners ranked Subaru third?
The internal auditor for your company believes
that 10 percent of your invoices contain errors.
To Check (All Possible Question Answers) this
theory, 20 invoices are randomly selected, and 5
are found to have errors. What is the
probability that of the 20 invoices selected, 5
or more would contain errors if the theory is
valid?
The standard deviation of a standard normal
distribution is always equal to 1.
85
If A and B are independent events, P(A) .2, and
P(B) .7, determine
A fair die is rolled 10 times. What is the
average number of even number outcomes?
86
1. In a statistical study, the random variable X
1 if the house is colonial, and X 0 if the
house is not colonial. The random variable X is
continuous.
2. The expected value of the discrete random
variable x is the population mean.
3. If the random variable x is normally
distributed, percent of all possible observed
values of x will be within three standard
deviations of the mean.
87
4. Given that X is a normal random variable, the
probability that a given value of X is below its
mean is .
5. Consider a standard deck of 52 playing cards,
a randomly selected card from the deck, and the
following events R red, B black, A ace, N
nine, D diamond, and C club. Are R and C
mutually exclusive?
6. Consider a standard deck of 52 playing cards,
a randomly selected card from the deck, and the
following events R red, B black, A ace, N
nine, D diamond, and C club. Are D and C
mutually exclusive?
7. Which of the following statements about the
binomial distribution is not correct?
88
8. If the random variable x is normally
distributed, 68.26 percent of all possible
observed values of x will be within two standard
deviations of the mean.
9. An important part of the customer service
responsibilities of a cable company is the speed
with which trouble in service can be repaired.
Historically, the data show that the likelihood
is 0.75 that troubles in a residential service
can be repaired on the same day. For the first
five troubles reported on a given day, what is
the probability that all five will be repaired
on the same day?
10. Consider a standard deck of 52 playing cards,
a randomly selected card from the deck, and the
following events R red, B black, A ace, N
nine, D diamond, and C club. .
89
11. If the random variable of x is normally
distributed, percent of all possible observed
values of x will be within two standard
deviations of the mean.
12. In a local survey, 100 citizens indicated
their opinions on a revision to a local land-use
plan. Of the 62 persons giving favorable
responses, 40 were males. Of the 38 giving
unfavorable responses, 15 were males. If one
citizen is randomly selected, find the
probability that person is male and has a
favorable opinion.
13. Suppose that you believe that the probability
you will get a grade of B or better in
Introduction to Finance is .6 and the probability
that you will get a grade of B or better in
Introduction to Accounting is .5. If these
events are independent, what is the probability
that you will receive a grade of B or better in
both courses?
90
14. The time (in seconds) it takes for an athlete
to run 50 meters is an example of a continuous
random variable.
15. In a binomial distribution, the random
variable X is continuous.
16. At an oceanside nuclear power plant, seawater
is used as part of the cooling system. This
raises the temperature of the water that is
discharged back into the ocean. The amount that
the water temperature is raised has a uniform
distribution over the interval from 10 to 25 C.
What is the standard deviation of the
temperature increase?
91
17. A continuous probability distribution having
a rectangular shape, where the probability is
evenly distributed over an interval of numbers is
a(n) distribution.
18. The z value tells us the number of standard
deviations that a value x is from the mean.
19. A fair die is rolled 10 times. What is the
average number of even number outcomes?
20. A random variable is a numerical value that
is determined by the outcome of an experiment.
21. A continuous random variable may assume only
integer values in a given interval.
92
22. A survey is made in a neighborhood of 80
voters. 65 are Democrats and 15 are Republicans.
Of the Democrats, 35 are women, while 5 of the
Republicans are women. If one subject from the
group is randomly selected, find the probability
the individual is a Democrat or a
Republican. QNT 275T Week 4 Discussion Income and
Insurance
http//www.tutorialrank.com/QNT/QNT-275T/product-2
7879- QNT-275T-Week-4-Discussion-Income-and-Insur
ance For more course tutorials visit
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QNT 275T Week 4 Discussion Income and
Insurance Post a total of 3 substantive
responses over 2 separate days for full
participation. This includes your initial post
and 2 replies to other students. Due Thursday
93

• Respond to the following in a minimum of 175
  words
• Suppose that we wish to assess whether more than
  60 percent of all U.S. households in a
  particular income class bought life insurance
  last year.
• That is, we wish to assess whether p, the
  proportion of all U.S.
• households in the income class that bought life
  insurance last year, exceeds .60. Assume that an
  insurance survey is based on 1,000 randomly
  selected U.S. households in the income class and
  that 640 of these households bought life
  insurance last year.
• Assuming that p equals .60 and the sample size is
  1,000, what is the probability of observing a
  sample proportion that is at least .64?
• Based on your answer in part a, do you think more
  than 60 percent of all U.S. households in the
  income class bought life insurance last year?
  Explain.
• Due Monday
• Reply to at least two of your classmates. Be
  constructive and professional in your responses.
• ..................................................
  ..................................................
  .................

94
QNT 275T Week 4 Practice Knowledge Check (All
Possible Question Answers) For more course
tutorials visit
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Week 4 Knowledge Check (All Possible Question
Answers)
If we have a sample size of 100 and the estimate
of the population proportion is .10, we can
estimate the sampling distribution of pˆp with
a normal distribution.
The null hypothesis is a statement that will be
accepted only if there is convincing sample
evidence that it is true.
95
As the sample size increases, the standard
deviation of the sampling distribution increases.
A recent study conducted by the state government
attempts to determine whether the voting public
supports a further increase in cigarette taxes.
The opinion poll recently sampled 1,500 voting
age citizens. 1,020 of the sampled citizens were
in favor of an increase in cigarette taxes. The
state government would like to decide if there is
enough evidence to establish whether the
proportion of citizens supporting an increase in
cigarette taxes is significantly greater than
.66. What is the alternative hypothesis?
96
If the sampled population distribution is skewed,
then in most cases the sampling distribution of
the mean can be approximated by the normal
distribution if the sample size n is at least 30.
A research study investigated differences between
male and female students. Based on the study
results, we can assume the population mean and
standard deviation for the GPA of male students
are µ 3.5 and s 0.5. Suppose a random sample
of 100 male students is selected and the GPA for
each student is calculated. What is µxµx?
It has been reported that the average time to
download the home page from a government website
was 0.9 seconds. Suppose that the download times
were normally distributed with a standard
deviation of 0.3
97
seconds. If random samples of 23 download times
are selected, describe the shape of the sampling
distribution and how it was determined.
In the upcoming election for governor, the most
recent poll, based on 900 respondents, predicts
that the incumbent will be reelected with 55
percent of the votes. From the 900 respondents,
how many indicated that they would not vote for
the current governor or indicated that they were
undecided?
1) Based on a random sample of 25 units of
product X, the average weight is 102 lb and the
sample standard deviation is 10 lb. We would
like to decide if there is enough evidence to
establish that the average weight for the
population of product X is greater than 100 lb.
Therefore,
98
the alternative hypothesis can be written as HA
µ gt 100. (Assume the population is normally
distributed.)
True
2) The power of a statistical test is the
probability of rejecting the null hypothesis
when it is false.
True
3) A research study investigated differences
between male and female students. Based on the
study results, we can assume the population mean
and standard deviation for the GPA of male
students are µ 3.5 and s 0.5. Suppose a
random sample of 100 male students
99
is selected and the GPA for each student is
calculated. What is µx??µx?
3.5
4)
The t distribution always has n degrees of
freedom.
False
5) A recent study conducted by the state
government attempts to determine whether the
voting public supports a further increase in
cigarette taxes. The opinion poll recently
sampled 1,500 voting age citizens. 1,020 of the
sampled citizens were in favor of an increase in
cigarette taxes. The state government would like
to decide if there is enough evidence to
establish whether the proportion of citizens
100
supporting an increase in cigarette taxes is
significantly greater than .66. Identify the
null hypothesis.
6) In the upcoming election for governor, the
most recent poll, based on 900 respondents,
predicts that the incumbent will be reelected
with 55 percent of the votes. From the 900
respondents, how many indicated that they would
not vote for the current governor or indicated
that they were undecided?
7) If p .8 and n 50, then we can conclude
that the sampling distribution of pˆp is
approximately a normal distribution.
101
8) A recent study conducted by the state
government attempts to determine whether the
voting public supports a further increase in
cigarette taxes. The opinion poll recently
sampled 1,500 voting age citizens. 1,020 of the
sampled citizens were in favor of an increase in
cigarette taxes. The state government would like
to decide if there is enough evidence to
establish whether the proportion of citizens
supporting an increase in cigarette taxes is
significantly greater than .66. What is the
alternative hypothesis?
p
102
9) According to the Central Limit Theorem, if a
sample size is at least , then for most sampled
populations, we can conclude that the sample
means are approximately normal.
10) The null hypothesis is a statement that will
be accepted only if there is convincing sample
evidence that it is true.
103
11) The sampling distribution of a sample
statistic is the probability distribution of the
population of all possible values of the sample
statistic.
12) If the sampled population distribution is
skewed, then in most cases the sampling
distribution of the mean can be approximated by
the normal distribution if the sample size n is
at least 30.
13) If we have a sample size of 100 and the
estimate of the population proportion is .10, we
can estimate the sampling distribution of pˆp
with a normal distribution.
104
For a given hypothesis test, if we do not reject
H0, and H0 is
14) true,
15) As the sample size increases, the standard
deviation of the sampling distribution increases.
105
16) It has been reported that the average time to
download the home page from a government website
was 0.9 seconds. Suppose that the download times
were normally distributed with a standard
deviation of 0.3 seconds. If random samples of 23
download times are selected, describe the shape
of the sampling distribution and how it was
determined.
17) A(n) hypothesis is the statement that
is being tested. It usually represents the
status quo, and it is not rejected unless there
is convincing sample evidence that it is
false. ...........................................
..................................................
........................ .........................
................ QNT 275T Week 5 Discussion The
Tasty Sub Shop Case and The QHIC Case
106
For more course tutorials visit
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QNT 275T Week 5 Discussion The Tasty Sub Shop
Case and The QHIC Case Post a total of 3
substantive responses over 2 separate days for
full participation. This includes your initial
post and 2 replies to other students. Due
Thursday Respond to the following in a minimum of
175 words The Tasty Sub Shop Case A business
entrepreneur uses simple linear regression
analysis to predict the yearly revenue for a
potential restaurant site on the basis of the
number of residents living near the site. The
entrepreneur then uses the prediction to assess
the profitability of the potential restaurant
site. And
107
The QHIC Case The marketing department at
Quality Home Improvement Center (QHIC) uses
simple linear regression analysis to predict home
upkeep expenditure on the basis of home value.
Predictions of home upkeep expenditures are used
to help determine which homes should be sent
advertising brochures promoting QHICs products
and services. Discuss the difference in the
type of prediction in both cases and provide
rational of the reasons that these predictions
were used. Due Monday Reply to at least two
of your classmates. Be constructive and
professional in your responses. ..................
..................................................
.................................................
......................................... QNT
275T Week 5 Practice Knowledge Check (All
Possible Question Answers) For more course
tutorials visit
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108
1) In simple regression analysis, the quantity
that gives the amount by which Y(dependent
variable) changes for a unit change in
X(independent variable) is called the
2) The chi-square goodness-of-fit test will be
valid if the average of the expected cell
frequencies is
3) In simple linear regression analysis, we
assume that the variance of the independent
variable (X) is equal to the variance of the
dependent variable (Y).
109
4) The upward or downward movement that
characterizes a time series over a period of
time is referred to as .
5)
A major drawback of the aggregate price index is
that
110
It does not take into account the fact that some
items in the market based are purchased more
frequently than others
6) The chi-square goodness-of-fit is a
one-tailed test with the rejection region in the
right tail
7) The number of degrees of freedom associated
with a chi-square test for independence based
upon a contingency table with 4 rows and 3
columns is .
6
111
8) Suppose that the unadjusted seasonal factor
for the month of April is 1.10. The sum of the
12 months' unadjusted seasonal factor values is
12.18. The normalized (adjusted) seasonal factor
value for April
9) A sequence of values of some variable or
composite of variables taken at successive,
uninterrupted time periods is called a
10) Those fluctuations that are associated with
climate, holidays, and related activities are
referred to as variations.
112
11) When the moving average method is used to
estimate the seasonal factors with quarterly
sales data, a period moving average is used.
12) The range for r2 is between 0 and 1, and the
range for r is between .
113
13) The strength of the relationship between two
quantitative variables can be measured by
14) The correlation coefficient may assume any
value between
15) The slope of the simple linear regression
equation represents the average change in the
value of the dependent variable per unit change
in the independent variable (X).
114
16) One use of the chi-square goodness-of-fit
test is to determine if specified multinomial
probabilities in the null hypothesis are correct.
17) In simple linear regression analysis, we
assume that the variance of the independent
variable (X) is equal to the variance of the
dependent variable (Y).
115
18) The correlation coefficient is the ratio of
explained variation to total variation
19) A measures the strength of the
relationship between a dependent variable (Y) and
an independent variable (X).
116
20) A multinomial probability distribution
describes data that are classified into two or
more categories when a multinomial experiment is
carried out.
21) The is the proportion of the total
variation in the dependent variable explained by
the regression model.
22) When we carry out a chi-square test of
independence, the chi- square statistic is based
on (r c) - 1 degrees of freedom, where r and
117
cdenote, respectively, the number of rows and
columns in the contingency table.
23) An experiment consists of 400 observations
and four mutually exclusive groups. If the
probabil