A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels
of LDL cholesterol (in mg/dL) have a mean of 0.1 and a standard deviation of 2.16. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What
do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final
conclusion that addresses the original claim.
What are the null and alternative hypotheses?
O A. Ho: = 0 mg/dL
H₁: μ#0 mg/dL
OC. Ho: μ = 0 mg/dL
H₁: μ<0 mg/dL
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Ho. There is
OB. Ho: μ> 0 mg/dL
H₁: μ<0 mg/dL
O D. Ho: μ = 0 mg/dL
H₁: μ> 0 mg/dL
evidence to conclude that the mean of the population of changes
0.
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Transcribed Image Text:In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.1 and a standard deviation of 2.16. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: = 0 mg/dL H₁: μ#0 mg/dL OC. Ho: μ = 0 mg/dL H₁: μ<0 mg/dL Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is OB. Ho: μ> 0 mg/dL H₁: μ<0 mg/dL O D. Ho: μ = 0 mg/dL H₁: μ> 0 mg/dL evidence to conclude that the mean of the population of changes 0.
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