An experiment involves 84 subjects with nonspecific low back pain. The participants were randomly divided into two groups of equal size. The first group received just educational materials, whereas the second group participated in 6 weeks of Pilates exercises. The sample mean level of pain (on a scale from 0 to 10) for the control group at a 6-week follow-up was 5.2 and the sample mean for the treatment group was 3.2; both sample standard deviations were 2.5.   (a) Does it appear that true average pain level for the control condition exceeds that for the treatment condition? Carry out a test of hypotheses using a significance level of 0.01.   Given that H0: ?control − ?treatment = 0, Ha: ?control − ?treatment > 0   Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)   z= ? P-value= ?

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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An experiment involves 84 subjects with nonspecific low back pain. The participants were randomly divided into two groups of equal size. The first group received just educational materials, whereas the second group participated in 6 weeks of Pilates exercises. The sample mean level of pain (on a scale from 0 to 10) for the control group at a 6-week follow-up was 5.2 and the sample mean for the treatment group was 3.2; both sample standard deviations were 2.5.
 
(a) Does it appear that true average pain level for the control condition exceeds that for the treatment condition? Carry out a test of hypotheses using a significance level of 0.01.
 
Given that H0: ?control − ?treatment = 0, Ha: ?control − ?treatment > 0
 
Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
 
z= ?
P-value= ?
 
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