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

Question 46
Multiple Choice
Question 46
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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