4. In a test of the effectiveness of garlic for lowering cholesterol, 42 subject

Question

4. 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 (before - after) in their levels of LDL cholesterol (in mg/dL) have a mean of 4.7 and a standard deviation of 15.3. 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? Click here to view a t distribution table 4 Click here to view page 1 of the standard normal distribution table,5 Click here to view page 2 of the standard normal distribution table What is the confidence interval estimate of the population mean ? mg/dL

Explanation / Answer

Solution:- Given that mean = 4.7 , sd = 15.3 , n = 42 , df = n-1 = 41, t0.05 = 1.683

=> The confidence interval estimate of the population mean :

=> X +/- t*sd/sqrt(n)

= 4.7 +/- 1.683*(15.3/sqrt(42))

= 0.73 < < 8.67 (rounded)

=> option B.

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