Fifty 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
. Assume th standard deviation is
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
Compute the value of the test statistic.