In a test of the effectiveness of garlic for lowering​ cholesterol, 4949 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes​ (before...

In a test of the effectiveness of garlic for lowering​ cholesterol,

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

and a standard deviation of

Use a

significance level to test the claim that with garlic​ treatment, the mean change in LDL cholesterol is greater than

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.