Question
A student believes that the average grade on the statistics final examination was 86. A sample of 36 past final examinations was taken. The average
A student believes that the average grade on the statistics final examination was 86. A sample of 36 past final examinations was taken. The average grade in the sample was84.91with a standard deviation of 12.
(a)
State the null and alternative hypotheses. (Enter != foras needed.)
H0:
Ha:
(b)
Using the critical value approach, test the hypotheses at the 5% level of significance.
Compute the test statistic.
Determine the critical value(s) for this test. (Round your answer(s) to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistictest statistic
State your conclusion.
RejectH0. There is sufficient evidence to conclude that the average grade on the statistics final examination differs significantly from 86.
Do not rejectH0. There is sufficient evidence to conclude that the average grade on the statistics final examination differs significantly from 86.
RejectH0. There is insufficient evidence to conclude that the average grade on the statistics final examination differs significantly from 86.
Do not rejectH0. There is insufficient evidence to conclude that the average grade on the statistics final examination differs significantly from 86.
(c)
Using thep-value approach, test the hypotheses at the 5% level of significance.
Find thep-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
RejectH0. There is sufficient evidence to conclude that the average grade on the statistics final examination differs significantly from 86.
Do not rejectH0. There is sufficient evidence to conclude that the average grade on the statistics final examination differs significantly from 86.
RejectH0. There is insufficient evidence to conclude that the average grade on the statistics final examination differs significantly from 86.
Do not rejectH0. There is insufficient evidence to conclude that the average grade on the statistics final examination differs significantly from 86.
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