Paired Difference Experiments

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Paired Difference Experiments

• Section 9.2

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Paired Difference Experiment

• Observations are paired and their differences are
  analyzed.

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For Example 9.34 Page 407

• Researchers at the University of Alabama compared
  the attitudes if male college students towards
  their fathers with their attitudes towards their
  mothers. Each of a sample of 13 males was asked
  to complete the following statement about each of
  their parents My relationship with my father
  (mother) can best be described as (1)Awful (2)
  Poor (3) Average (4) Good (5) Great. The
  following data was obtained

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(No Transcript)
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Mean and Standard deviation of the Differences
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Hypotheses for testing whether students
attitudes towards their fathers differs from
their attitudes towards their mothers.
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Level of Significance, Critical Value, Test
Statistic, p-value
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Conclusion

• Do Not Reject the Null Hypothesis which says that
  there is no difference between a male college
  students attitude towards his father and mother.

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Homework- Section 9.2

• Pages 405-407, 9.27,9.28,9.31,9.42

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Comparing Two Population Proportions Section 9.3

• Suppose a presidential candidate wishes to
  compare the preference of registered voters in
  the northeastern United States (NE) with those in
  the southeastern United States (SE). Such a
  comparison would help determine where to
  concentrate campaign efforts.

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The two samples represent independent binomial
experiments
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Point estimate for the difference in the two
binomial populations
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95 Confidence Interval
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Properties of the Sampling Distribution of

• Mean of the sampling distribution is

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Standard Deviation of the sampling Distribution
is
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Sample size requirement when working with two
proportions is the same as with one proportion.
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Homework Section 9.3

• Pages 415-417, 9.43,9.45,9.49,9.54,9.55,9.56

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9.56 Page 417

• Geneticists at Duke University have identified
  the E2F1 transcription factor as an important
  component of cell proliferation control. The
  researchers induced DNA synthesis in two batches
  if serum-starved cells. One batch was exposed to
  E2F1 while the second batch
• ( the controls) were not exposed to E2F1. After
  30 hours, the number of cells in each batch that
  exhibited altered growth was determined.

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The results of the experiment are summarized as
follows
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Give a 90 confidence interval for the difference
in the percentages of cells exhibiting altered
growth

• Stat
• Tests
• 2-Prop Z Interval (B)
• X115
• N1158
• X241
• N292
• C-Level.90
• Calculate -.4442,-.2572

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Test the Hypothesis that the ability of the E2F1
transcription factor to induce cell growth.