Consider the following hypothesis test.
A sample of 40 provided a sample mean of 26.4. The populationstandard deviation is 6.
(a)
Find the value of the test statistic. (Round your answer to twodecimal places.)
(b)
Find the p-value. (Round your answer to four decimalplaces.)
p-value =
(c)
At
α = 0.01,
state your conclusion.
Reject H0. There is sufficient evidence toconclude that μ > 25.Reject H0.There is insufficient evidence to conclude that μ >25.      Do not rejectH0. There is sufficient evidence to concludethat μ > 25.Do not reject H0. Thereis insufficient evidence to conclude that μ > 25.
(d)
State the critical values for the rejection rule. (Round youranswer to two decimal places. If the test is one-tailed, enter NONEfor the unused tail.)
test statistic ≤test statistic ≥
State your conclusion.
Reject H0. There is sufficient evidence toconclude that μ > 25.Reject H0.There is insufficient evidence to conclude that μ >25.      Do not rejectH0. There is sufficient evidence to concludethat μ > 25.Do not reject H0. Thereis insufficient evidence to conclude that μ > 25.
