You may need to use the appropriate appendix table or technologyto answer this question.
Consider the following hypothesis test.
A sample of 50 provided a sample mean of 14.05. The populationstandard deviation is 3.
(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 = 0.05,
state your conclusion.
Reject H0. There is sufficient evidence toconclude that μ ≠15.Reject H0. Thereis insufficient evidence to conclude that μ ≠15.     Do not rejectH0. There is sufficient evidence to concludethat μ ≠15.Do not reject H0. There isinsufficient evidence to conclude that μ ≠15.
(d)
State the critical values for the rejection rule. (Round youranswers to two decimal places. If the test is one-tailed, enterNONE for the unused tail.)
test statistic≤test statistic≥
State your conclusion.
Reject H0. There is sufficient evidence toconclude that μ ≠15.Reject H0. Thereis insufficient evidence to conclude that μ ≠15.     Do not rejectH0. There is sufficient evidence to concludethat μ ≠15.Do not reject H0. There isinsufficient evidence to conclude that μ ≠15.
