Listed below are systolic blood pressure measurements​ (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can be​ concluded? -Identify the test statistic. -Identify the​ P-value. -What is the conclusion based on the hypothesis​ test? since the P-value is (less/ greater) than the significance level, (reject, accept) the null hypothesis. there (is/ is not) sufficient evidence to support the claim of a difference in measurements between the two arms.

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.

PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC.   1) In a test of the effectiveness of garlic for lowering​ cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes​ (before minus​ after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 0.8 and a standard deviation of 1.51. Use a 0.10 significance level to test the claim that with garlic​ treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic​ treatment? Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses? A. H0​: μ=0 mg/dL H1​: μ<0 mg/dL B. H0​: μ>0 mg/dL H1​: μ<0 mg/dL C. H0​: μ=0 mg/dL H1​: μ≠0 mg/dL D. H0​: μ=0 mg/dL H1​: μ>0 mg/dL…