A sample of 46 students enroll in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE). The participants take a mock GRE test before the program begins and again at the end to measure their improvement.
The mean number of points improved was . Assume the standard deviation is and let be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses versus .
Compute the value of the test statistic.