In a test of the effectiveness of garlic for lowering​ cholesterol, 36   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 0.9   and a standard deviation of 1.64 . Use a 0.05   significance level to test the

MATLAB: An Introduction with Applications
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In a test of the effectiveness of garlic for lowering​ cholesterol,

36
 

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

0.9
 

and a standard deviation of

1.64
.

Use a

0.05
 

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.

 

a. Determine the test statistic.​(Round to two decimal places as​ needed.)
 
b. Determine the​ P-value. ​(Round to three decimal places as​ needed.)
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