A Sample of 36 Students Enroll in a Program That $\bar { x } = 19$

question 112

Multiple Choice

A sample of 36 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 $\bar { x } = 19$ . Assume the standard deviation is $\sigma = 66$ and let $\mu$ ₁the 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 $H _ { 1 } : \mu > 0$ . $\text { Do you reject } H _ { 0 } \text { at the } \alpha = 0.01 \text { level? }$

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

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