A Sample of 43 Students Enroll in a Program That $\bar { x } = 9$

A sample of 43 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 $\bar { x } = 9$ . Assume the standard deviation is $\sigma = 42$ and let $\mu$ bi the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses $H _ { 0 } : \mu = 0$ versus $H _ { 1 } : \mu > 0$ . Using technology, compute the P-value.

A) 0.039993052
B) 1.405165398
C) 0.019996526
D) 0.079986104