Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table below. The results are a measure of reduction in back pain. Assume that the two samples are independent random samples.    Treatment Sham μ μ₁ μ₂ n 18 18 x̄ 0.57 0.42 s 0.54 1.46 Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. Determine the p-value.

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Magnet Problem
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table below. The results are a measure of reduction in back pain. Assume that the two samples are independent random samples. 

  Treatment Sham
μ μ μ
n 18 18
0.57 0.42
s 0.54 1.46

Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.

Determine the p-value.
Round your answer to 4 decimal places.

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