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

81

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

0.4

and a standard deviation of

1.96

.

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. Determine the test statistic and P-value