Researchers conducted a study to determine whether magnets are effective in trea

Question

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 a0.05 significance level for both parts.

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 a0.05 significance level for both parts.

Explanation / Answer

I am going to round off all the values to 4 decimal places. Please round those off as per the question demands.

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0
(without pooled variances)

Hypothesis test results:

95% confidence interval results:

Hence,

a) t = 0.3635

P - value = 0.3591

b) 95% confidence interval: (-0.5032, 0.7232)

c) Do not reject; is not

Sample mean; greater than; is

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