# In a test of the effectiveness of garlic for lowering​ cholesterol, 42 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (beforeminus−​after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 3.9 and a standard deviation of 18.8. Construct a 90​% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL​ cholesterol? a. What is the confidence interval estimate of the population mean μ​?b. What does the confidence interval suggest about the effectiveness of the​ treatment?

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In a test of the effectiveness of garlic for lowering​ cholesterol, 42 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (beforeminus−​after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 3.9 and a standard deviation of 18.8. Construct a 90​% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL​ cholesterol?

a. What is the confidence interval estimate of the population mean μ​?

b. What does the confidence interval suggest about the effectiveness of the​ treatment?

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Step 1

(a)

The 90% confidence interval estimate of the population mean µ is,

Thus, the 90% confidence interval estimate of the population mean µ is (-0.982, 8.782).

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