Question

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    0.42    1.38
Magnet 20    0.48 0.93
What are the null and alternative hypotheses?
A. Ho : σ1 = σ2
H1: σ1 > σ2

B. H0 : σ1 = σ2
H1: σ1 ≠ σ2

C. Ho: σ1 ≠ σ2
H1: σ1 = σ2

D. Ho : σ1 = σ2
H1: σ1 < σ2

Identify the test statistic.
F =    (Round to two decimal places as needed.)
Use technology to identify the P-value.
The P-value is -----------. (Round to three decimal places as needed.)
What is the conclusion for this hypothesis test?
A. Reject Ho. 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.

B. Fail to reject Ho. 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. Fail to reject. 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 Ho. 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

Answer 1