A Sample of 46 Students Enroll in a Program That $\bar { x } = 24$

question 78

Multiple Choice

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 $\bar { x } = 24$ . Assume the standard deviation is $\sigma = 40$ 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 $H _ { 1 } : \mu > 0$ .
Compute the value of the test statistic.

• A) \(0.0000\)
• B) \(4.07\)
• C) \(0.60\)
• D) \(25.74\)

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