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A Sample of 41 Students Enroll in a Program That xˉ=17\bar { x } = 17

Question 41
Multiple Choice
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Multiple Choice

A sample of 41 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 xˉ=17\bar { x } = 17 . Assume the standard deviation is σ=69\sigma = 69 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 .
Do you reject H0H _ { 0 } at the α=0.01\alpha = 0.01 level?

A) There is not enough information to draw a conclusion.
B) Yes
C) No\mathrm { No }

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