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In a clinical trial, a pain treatment was studied against a placebo. The treatment group had 26 patients, and their mean reduction in pain was 0.53 with a standard deviation of 0.63. The placebo group had 26 patients l, and their mean reduction in pain was 0.45 with a standard deviation of 1.17. Use a 5% significance level to test the claim that the treatment had a greater reduction in pain than the placebo.  please show the solving steps for the following.  find the null and alternative hypothesis, the test statistic, the p-value, and the conclusion and interpretation.

In a clinical trial, a pain treatment was studied against a placebo. The treatment group had 26 patients, and their mean reduction in pain was 0.53 with a standard deviation of 0.63. The placebo group had 26 patients l, and their mean reduction in pain was 0.45 with a standard deviation of 1.17. Use a 5% significance level to test the claim that the treatment had a greater reduction in pain than the placebo.  please show the solving steps for the following.  find the null and alternative hypothesis, the test statistic, the p-value, and the conclusion and interpretation.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In a clinical trial, a pain treatment was studied against a placebo. The treatment group had 26 patients, and their mean reduction in pain was 0.53 with a standard deviation of 0.63. The placebo group had 26 patients l, and their mean reduction in pain was 0.45 with a standard deviation of 1.17. Use a 5% significance level to test the claim that the treatment had a greater reduction in pain than the placebo. 
please show the solving steps for the following. 
find the null and alternative hypothesis, the test statistic, the p-value, and the conclusion and interpretation. 

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