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Thirty-Seven Members of a Bowling League Sign Up for a Program

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Question 42
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Short Answer

Thirty-seven members of a bowling league sign up for a program that claims to improve bowling scores. The participants bowl a set of five games before the program begins and a set of five games again at the end to measure their improvement.
The mean number of points improved (over the set of five games) was xˉ=7\bar { x } = 7 . Assu the standard deviation is σ=43\sigma = 43 and let μ\mu be the population mean number of points improved for the set of five games. To determine whether the program is effective, a test is made of the hypotheses H0:μ=0H _ { 0 } : \mu = 0 versus H1:μ>0H _ { 1 } : \mu > 0 .
i). Compute the value of the test statistic.
ii). Compute the PP -value.
iii). Do you reject H0H _ { 0 } at the α=0.01\alpha = 0.01 level?

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