A Sample of 41 Students Enroll in a Program That $\bar { x } = 17$

question 33

Multiple Choice

A sample of 41 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 $\bar { x } = 17$ . Assume the standard deviation is $\sigma = 69$ 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?

• A) There is not enough information to draw a conclusion.
• B) Yes
• C) \(\mathrm { No }\)

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