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Forty-Six Members of a Bowling League Sign Up for a Program

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Forty-six 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=14\bar { x } = 14 . Assume the standard deviation is σ=59\sigma = 59 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 . Compute the value of the test statistic.


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