A Statistical Analysis of the Westminster College Golf Program

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A Statistical Analysis of the Westminster College
Golf Program

• Gary Knight

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The Problem

• We WANT to win.
• We arent WINNING.
• While we have posted some good scores over the
  course of the season, we havent been able to
  place well as a team.
• Is this a result of being unlucky and having poor
  timing, or is it because we just arent good
  enough?

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Data Collection

• All data was collected by examining fall season
  records for the Frontier Conference.
• I recorded each male player with his respective
  team, along with 9 18-hole scores.
• Once the scores were recorded, I calculated the
  average and standard deviation for future
  calculations.

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Data
Here is a small excerpt from the raw data I
collected
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Confidence Intervals

• Once the raw data was compiled, I computed the
  player confidence intervals (at a 95 level).
• Then, I compiled the lowest 4 scores from both
  ends of the confidence interval to create a team
  confidence interval.
• This shows, with a 95 confidence level, what
  scores the team is likely to post on any given
  day.

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Team Confidence Intervals
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Hypothesis Test

• Generally at Frontier Conference events, the
  individual medalists score around even par per
  round (72).
• My goal is to individually medal next season, so
  I want to know if I need to improve to reach this
  level.
• Test the hypothesis that my scoring average is 72
  or lower at a 90 confidence level.

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Hypothesis Test
Test the claim, at a 90 confidence level, that
my average score is 72 or less. Scores in last 9
rounds 78 75 75 76 69 71 71 76
71 x 73.56 s 3.09 n 9 Ho m 72 Ha m lt
72 a .1 73.56 - 72 t -----------------------
3.09 / sqrt(9) t 1.515 Critical Value t
1.397 (right tailed test) Reject Ho. The sample
data support the claim that my mean score is
greater than 72 at a 90 confidence level.
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Conclusion

• Based on the testing
• The team needs to improve if we want to win
  tournaments, its not just bad luck/timing.
• Individually, I would need to improve to win
  medalist honors at future tournaments.

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Thanks for your time.