Forty-three 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 $\bar { x } = 16$ Assume the standard deviation is $\sigma = 51$ 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 $H _ { 1 } : \mu > 0$
i). Compute the value of the test statistic.
ii). Compute the P-value.
iii). Do you reject H₀ at the $\alpha$ =0.01 level?

Question

Forty-three 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 } = 16

Assume the standard deviation is

\sigma = 51

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

i). Compute the value of the test statistic.
ii). Compute the P-value.
iii). Do you reject H₀ at the

\alpha

=0.01 level?

Quizplus · Accepted Answer

The Answer of Forty-three 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 $\bar { x } = 16$ Assume the standard deviation is $\sigma = 51$ 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 $H _ { 1 } : \mu > 0$ i). Compute the value of the test statistic. ii). Compute the P-value. iii). Do you reject H₀ at the $\alpha$=0.01 level?

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