A sample of 43 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  x=7.   Assume the standard deviation is  =56 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  ( photo attached below) i). Compute the value of the test statistic. ii). Compute the P-value. iii). Do you reject H0 at the a=0.01 level?

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A sample of 43 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  x=7.   Assume the standard deviation is  =56 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  ( photo attached below)

i). Compute the value of the test statistic.
ii). Compute the P-value.
iii). Do you reject H0 at the a=0.01 level?

A sample of 43 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 x=7. Assume the standard
deviation is = 56 and let u be the population mean number of points
improved.
To determine whether the program is effective, a test is made of the
hypotheses H H= 0
versus H, p>0,
i). Compute the value of the test statistic,
ii). Compute the P-value,
111). Do you reject H at the a = 001 level?
Transcribed Image Text:A sample of 43 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 x=7. Assume the standard deviation is = 56 and let u be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses H H= 0 versus H, p>0, i). Compute the value of the test statistic, ii). Compute the P-value, 111). Do you reject H at the a = 001 level?
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