A Sample of 46 Students Enroll in a Program That $\bar { x } = 16$

A sample of 46 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 $\bar { x } = 16$ . Assume the standard deviation is $\sigma = 53$ 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 $H _ { 1 } : \mu > 0$ . ive Compute the value of the test statistic.

A) 14.91
B) 0.0202
C) 0.30
D) 2.05

Correct Answer:

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