A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets.

n x s

Sham 20 0.41 1.36

Magnet 20 0.49 0.98

What are the null and alternativehypotheses?

A.

H0: 21=22

H1: 2122

B.

H0: 21=22

H1: 21<22

C.

H0: 21=22

H1: 21>22

D.

H0: 2122

H1: 21=22

Identify the test statistic.

Identify TheP-value is

What is the conclusion for this hypothesistest?

A.

Reject H0. There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.

B.

Failtoreject H0. There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.

C.

Failtoreject H0. There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.

D.

Reject H0. There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.