In a test of the effectiveness of garlic for lowering​ cholesterol, 4949 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 0.30.3 and a standard deviation of 2.142.14 Use a 0.100.10 significance level to test the claim that with garlic​ treatment, the mean change in LDL cholesterol is greater than 00. 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 0H0​: muμequals=00 ​mg/dL Upper H 1H1​: muμless than<00 ​mg/dL   B. Upper H 0H0​: muμequals=00 ​mg/dL Upper H 1H1​: muμgreater than>00 ​mg/dL   C. Upper H 0H0​: muμequals=00 ​mg/dL Upper H 1H1​: muμnot equals≠00 ​mg/dL   D. Upper H 0H0​: muμgreater than>00 ​mg/dL Upper H 1H1​: muμless than<00 ​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.       Upper H 0H0. There is not   evidence to conclude that the mean of the population of changes is greater than   00.

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In a test of the effectiveness of garlic for lowering​ cholesterol,
4949
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
0.30.3
and a standard deviation of
2.142.14
Use a
0.100.10
significance level to test the claim that with garlic​ treatment, the mean change in LDL cholesterol is greater than
00.
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 0H0​:
muμequals=00
​mg/dL
Upper H 1H1​:
muμless than<00
​mg/dL
 
B.
Upper H 0H0​:
muμequals=00
​mg/dL
Upper H 1H1​:
muμgreater than>00
​mg/dL
 
C.
Upper H 0H0​:
muμequals=00
​mg/dL
Upper H 1H1​:
muμnot equals≠00
​mg/dL
 
D.
Upper H 0H0​:
muμgreater than>00
​mg/dL
Upper H 1H1​:
muμless than<00
​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.
 
 
 
Upper H 0H0.
There is not
 
evidence to conclude that the mean of the population of changes
is greater than
 
00.
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