A study was conducted to determine whether magnets were effective in treating pa

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. What are the null and alternative hypotheses? A. H_0: sigma^2_1 = sigma^2_2 H_1 = sigma^2_1

Explanation / Answer

The statistical software output for this problem is:

Two sample variance hypothesis test:
12 : Variance of population 1
22 : Variance of population 2
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 > 1

Hypothesis test results:

Hence,

Null and alternative hypotheses: Option C

F = 2.55

p - Value = 0.024

Conclusion: Option D

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 19 19 2.5530482 2.5530482 0.0238

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