In a test of the effectiveness of garlic for lowering​ cholesterol, 64   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 0.9   and a standard deviation of 16.9 . Use a 0.01   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?     A. Upper H 0 ​: mu equals0   ​mg/dL Upper H 1 ​: mu greater than0   ​mg/dL   B. Upper H 0 ​: mu greater than0   ​mg/dL Upper H 1 ​: mu less than0   ​mg/dL   C. Upper H 0 ​: mu equals0   ​mg/dL Upper H 1 ​: mu less than0   ​mg/dL   D. Upper H 0 ​: mu equals0   ​mg/dL Upper H 1 ​: mu not equals0   ​mg/dL

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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In a test of the effectiveness of garlic for lowering​ cholesterol,

64
 

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

0.9
 

and a standard deviation of

16.9
.

Use a

0.01
 

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?
 
 
A.
Upper H 0
​:
mu

equals0

 
​mg/dL
Upper H 1
​:
mu

greater than0

 
​mg/dL
 
B.
Upper H 0
​:
mu

greater than0

 
​mg/dL
Upper H 1
​:
mu

less than0

 
​mg/dL
 
C.
Upper H 0
​:
mu

equals0

 
​mg/dL
Upper H 1
​:
mu

less than0

 
​mg/dL
 
D.
Upper H 0
​:
mu

equals0

 
​mg/dL
Upper H 1
​:
mu

not equals0

 

​mg/dL

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