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Researchers conducted a study to determine whether magnets are effective in treating back pain. The results...

Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment​ (with magnets) group and the sham​ (or placebo) group. 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. Complete parts​ (a) and​ (b) below. Use a 0.05 significance level for both parts.

Test Statistic is...

P-Value is...

State the conclusion for the test.

Is it valid to argue that magnets might appear to be effective if the sample sizes are​ larger?

Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.

Treatment Sham
n 19 19
x 0.53 0.45
s 0.69 1.07
0 0
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R code for crictical value and p value is attached

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