Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown for the treatment​ (with magnets) group and the sham​ (or placebo) group. Treatment with sample size of 42 and mean of 0.69 and standard deviation of 0.25 Sham with sample size of 44 and mean of 0.75 and standard deviation of 0.44 The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Test the claim that the treatment mean measure of reduction in back pain is greater than the sham mean measure of reduction in back pain. Use the Critical Value Method. Show all the work on paper and enter the critical value with 3-decimal places.  show formulas and draw all curves.

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Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown for the treatment​ (with magnets) group and the sham​ (or placebo) group.

Treatment with sample size of 42 and mean of 0.69 and standard deviation of 0.25

Sham with sample size of 44 and mean of 0.75 and standard deviation of 0.44

The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Test the claim that the treatment mean measure of reduction in back pain is greater than the sham mean measure of reduction in back pain. Use the Critical Value Method.

Show all the work on paper and enter the critical value with 3-decimal places.

 show formulas and draw all curves. 

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