A Sample of 35 Students Enroll in a Program That $\bar { x } = 20$

Multiple Choice

A sample of 35 students enroll in a program that claims to improve scores on the quantita reasoning portion of the Graduate Record Examination (GRE) . The participants take a mc GRE test before the program begins and again at the end to measure their improvement.
The mean number of points improved was $\bar { x } = 20$ . Assume the standard deviation is $\sigma = 64$ and let $\mu$ be 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 $H _ { 1 } : \mu > 0$ .
Do you reject $H _ { 0 }$ at the $\alpha = 0.01$ level? ive

A) There is not enough information to draw a conclusion.
B) No
C) Yes