Forty Members of a Bowling League Sign Up for a Program

question 109

Multiple Choice

Forty 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 $\bar { x } = 11$ . Assume the standard deviation is $\sigma = 49$ and let $\mu$ 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 $H _ { 0 } : \mu = 0$ versus $H _ { 1 } : \mu > 0$ .
Do you reject $H _ { 0 }$ at the $\alpha = 0.01$ level?

• A) Yes
• B) There is not enough information to draw a conclusion.
• C) No

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