n a test of the effectiveness of garlic for lowering cholesterol, 42 subjects we
ID: 2933269 • Letter: N
Question
n 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 in their levels of LDL cholesterol (in mg/dL) have a mean of 3.1 and a standard deviation of 16.3. Complete parts (a) and (b) below. a) What is the best point estimate of the population mean net change in LDL cholesterol after the garlic treatment? b) Construct a 95% 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? What is the confidence interval estimate of the population mean ? What does the confidence interval suggest about the effectiveness of the treatment?
Explanation / Answer
solution=
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 in their levels of LDL cholesterol )in mf/dl) have a mean of 3.1 and standard deviation of 16.3
a. What is the best point estim ate of the population mean net change in LDL cholesterol after the garlic treatment?
Ans: 3.1 mf/dl
b. Construct a 95% confidence interval of the mean net change in LDL cholesterol after the garlic treatment.
ME = 1.96*16.3 /sqrt(42) = 4.93
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95CA:: 3.1-4.93 < u < 3.1+4.93
95%CA:: -0.83 < u < 8.03
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What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol.
The mean is slightly higher than 3.1.
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