Question

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 x=11. Assume the standard deviation is σ= 45. and let μ 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 = 0 versus H1 : μ > 0. Compute the value of the test statistic.

Answer 1

Input data

46 members

5 games at beginning

5 games at the end

The mean of points improved x = 11

σ= 45

Procedure

Test Statistic for One Population Mean

$\frac{x-\mu}{\frac{\sigma}{\sqrt[]{n}}}$$\frac{11-0}{\frac{45}{\sqrt[]{46}}}$

Test Statistic for One Population Mean: 1.65