Question

In a study designed to test the effectiveness of magnets for treating back​ pain,

4040

patients were given a treatment with magnets and also a sham treatment without magnets. Pain was measured using a scale from 0​ (no pain) to 100​ (extreme pain). After given the magnet​ treatments, the

4040

patients had pain scores with a mean of

11.011.0

and a standard deviation of

2.52.5.

After being given the sham​ treatments, the

4040

patients had pain scores with a mean of

10.810.8

and a standard deviation of

2.82.8.

Complete parts​ (a) through​ (c) below.Click here to view a t distribution table.

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a. Construct the

9999​%

confidence interval estimate of the mean pain score for patients given the magnet treatment.What is the confidence interval estimate of the population mean

muμ​?

nothing less than<muμless than<nothing

​(Round to one decimal place as​ needed.)

b. Construct the

9999​%

confidence interval estimate of the mean pain score for patients given the sham treatment.What is the confidence interval estimate of the population mean

muμ​?

nothing less than<muμless than<nothing

​(Round to one decimal place as​ needed.)

c. Compare the results. Does the treatment with magnets appear to be​ effective?

A.Since the confidence

intervalsnbsp do not nbsp do not ​overlap,

it appears that the magnet treatments are

moremore

effective than the sham treatments.

B.Since the confidence

intervalsnbsp ​overlap,

it appears that the magnet treatments are

no moreno more

effective than the sham treatments.

C.Since the confidence

intervalsnbsp ​overlap,

it appears that the magnet treatments are

moremore

effective than the sham treatments.

D.Since the confidence

intervalsnbsp do not nbsp do not ​overlap,

it appears that the magnet treatments are

no moreno more

effective than the sham treatments