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A Sample of 37 Students Enroll in a Program That xˉ=19\bar { x } = 19

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Question 54
Short Answer
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Short Answer

A sample of 37 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 wa xˉ=19\bar { x } = 19 . Assume the standard deviation is σ=58\sigma = 58 and let μ\mu be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses H0:μ=0H _ { 0 } : \mu = 0 versus H1:μ>0H _ { 1 } : \mu > 0 .
i). Compute the value of the test statistic.
ii). Compute the PP -value.
iii). Do you reject H0H _ { 0 } at the α=0.05\alpha = 0.05 level?

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