## Question

###### In a test of the effectiveness of garlic for lowering cholesterol, 44 subjects were treated with...

In a test of the effectiveness of garlic for lowering cholesterol, 44 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 31 and a standard deviation of 19.1. 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 at distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean? mg/dL<< mg/dL (Round to two decimal places as needed) What does the confidence interval suggest about the effectiveness of the treatment? O A. The confidence interval limits do not contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels OB. The confidence interval limits do not contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels O c. The confidence interval limits contain 0, suggesting that the garlic treatment did affect the LDL cholesterol levels OD. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels

## Answers

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gol.confidence interval of the population mean (el). sd Xd - tn-lid <l< Xdt to-1; / vo where n=44, xd=31, Sd=19.1 / 1 -d=0.go =) d=0:10 to-1;= t48;0.05 = 1.68 from: t-table 31-1.68 x 19.1 ig. cel ( 31+ 1.68 √ 44 (31-4.8 4.8374 cele 31 + 4.8374) (26.16 Se ( 35.84) 9o.). confidence interval foɛ el is, 26.16 mg/de cel<[35.84 mg/de Interpretation The contidence interval limits do not contain o suggesting that the ganic treatment did affect the cholesterol level. LDL

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