In a test of the effectiveness of garlic for lowering cholesterol, 50 subjects w
ID: 2907109 • Letter: I
Question
In a test of the effectiveness of garlic for lowering cholesterol, 50 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 2.8 and a standard deviation of 17.5 Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after th garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? Click here to view a t distrib ution table here to view page 1 of the standard normal distribution table. able What is the confidence interval estimate of the population mean u? (Round to two decimal places as needed.)Explanation / Answer
solution:-
given mean = 2.8 , standard deviation = 17.5
99% confidence with df = 50 - 1 = 49 is t = 2.68
confidence interval formula
=> x +/- t * s / sqrt(n)
=> 2.8 +/- 2.68 * 17.5 / sqrt(50)
=> (-3.83 , 9.43)
What does the confidence interval suggest about the effectiveness of garlic in reducing LDL? cholesterol
The confidence interval limits contain ?0, suggesting that the garlic treatment did not affect the LDL cholesterol levels
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