a sample of 35 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 own improvement. the mean number of points improved was x̄ = 10. Assume the standard deviation is  σ = 46 and let μ be the population mean number of points improved. to determine whether the program is effective, a test is made of the hypotheses H0: μ = 0 versus         H1: μ > 0. compute the P-value.A). 0.0496     B).0.0992    C). 0.0248

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Asked Nov 18, 2019
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a sample of 35 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 own improvement. the mean number of points improved was x̄ = 10. Assume the standard deviation is  σ = 46 and let μ be the population mean number of points improved. to determine whether the program is effective, a test is made of the hypotheses H0: μ = 0 versus         H1: μ > 0. compute the P-value.

A). 0.0496     B).0.0992    C). 0.0248

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Expert Answer

Step 1

It is given that the mean number of points that improved is 10 and the standard deviation is 46.

The sample size is 35.

 

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That is, 10,0 = 46 andn 35

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Step 2

Consider the level of significance is 0.05.

The confidence level is 0.95.

The P-value can be obtained as follows:

 

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P(Z<z) 0.95

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Step 3

The test statistic v...

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Z= 10 46 35 10 7.775 -1.28

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