Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test ??0: μ = 15 vs ????: μ > 15 using the sample results ??̅= 17.2, s = 6.4, with n = 40. a. Briefly state why this sample satisfies the CLT requirements. b. Find the test statistic. Show all work for full credit. Round to two decimal places. c. Find the p-value. Include a Statkey pic or provide a sketch that supports your answer. d. Give the formal decision for this test based on your p-value in part c. Provide a general conclusion for this test

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Use the t-distribution and the sample results to complete the test of the hypotheses. Use
a 5% significance level. Assume the results come from a random sample, and if the
sample size is small, assume the underlying distribution is relatively normal.
Test ??0: μ = 15 vs ????: μ > 15 using the sample results ??̅= 17.2, s = 6.4, with n = 40.
a. Briefly state why this sample satisfies the CLT requirements.
b. Find the test statistic. Show all work for full credit. Round to two decimal places.
c. Find the p-value. Include a Statkey pic or provide a sketch that supports your answer.
d. Give the formal decision for this test based on your p-value in part c. Provide a
general conclusion for this test

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