A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets.                             n                             x                                s sham                20                           0.43                          1.27 magnet             20                           0.48                          0.91     What are the null and alternative​ hypotheses?   Identify the test statistic.   F= ​(Round to two decimal places as​ needed.) Use technology to identify the​ P-value.   The​ P-value is   ​(Round to three decimal places as​ needed.) What is the conclusion for this hypothesis​ test?       A. RejectReject Upper H 0H0. There is insufficientinsufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.   B. Fail to rejectFail to reject Upper H 0H0. There is sufficientsufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.   C. RejectReject Upper H 0H0. There is sufficientsufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.   D. Fail to rejectFail to reject Upper H 0H0. There is insufficientinsufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. 

 

                         n                             x                                s
sham                20                           0.43                          1.27
magnet             20                           0.48                          0.91
 
 
What are the null and alternative​ hypotheses?
 
Identify the test statistic.
 
F=
​(Round to two decimal places as​ needed.)
Use technology to identify the​ P-value.
 
The​ P-value is
 
​(Round to three decimal places as​ needed.)
What is the conclusion for this hypothesis​ test?
 
 
 
A.
RejectReject
Upper H 0H0.
There is
insufficientinsufficient
evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.
 
B.
Fail to rejectFail to reject
Upper H 0H0.
There is
sufficientsufficient
evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.
 
C.
RejectReject
Upper H 0H0.
There is
sufficientsufficient
evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.
 
D.
Fail to rejectFail to reject
Upper H 0H0.
There is
insufficientinsufficient
evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.
 
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