Forty-two 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 $\bar { x } = 9$. Assume the standard deviation is $\sigma = 70$ 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 $H _ { 1 } : \mu 0$.
Compute the $P$-value.
A) $0.0506$
B) $0.2024$
C) $0.8332$
D) $0.1012$

Question

Forty-two 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 $\bar { x } = 9$. Assume the standard deviation is $\sigma = 70$ 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 $H _ { 1 } : \mu > 0$.
Compute the $P$-value.
A) $0.0506$
B) $0.2024$
C) $0.8332$
D) $0.1012$

Quizplus · Accepted Answer

The Answer of Forty-two 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 $\bar { x } = 9$. Assume the standard deviation is $\sigma = 70$ 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 $H _ { 1 } : \mu > 0$.
Compute the $P$-value.
A) $0.0506$
B) $0.2024$
C) $0.8332$
D) $0.1012$

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