One of the top golf camps in the country advertises that a week with its coaches will lower your average golf score by two points. One disgruntled customer claims that the camp's advertisement is not true, he does not know if the camp lowers the average golf score by less than or more than two points though. To test the customer's claim, eight randomly selected men attending the camp agreed to participate in a study, and their pre-camp and post-camp average scores are listed in the following table. (These are their average scores on a par-72 golf course.) Test the customer's claim at the 0.10 level of significance
Average Golf Scores | ||||||||
Before Camp | 75 | 74 | 76 | 75 | 76 | 76 | 74 | 77 |
After Camp | 73 | 72 | 73 | 74 | 74 | 72 | 74 | 75 |
H0:
Ha:
t-Test Statistic (write its exact value) =
Critical t-score (t α or t α / 2, they should be positive, use the t-distribution table):
Conclusion (write "R" for reject H0, and "F" for fail to reject H0):
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