Researchers conducted an experiment to test the effects of alcohol. The errors w

Question

Researchers conducted an experiment to test the effects of alcohol. The errors were recorded in a test of visual and motor skills for a treatment group of 22 people who drunk ethanol and another group of 22 people given a placebo. The errors for the treatment group have a standard deviation 1.61, and the errors for the placebo group have a standard deviation of 1.49. Use a 0.06 significance level to test the claim that the treatment group has errors that vary more than the errors of the placebo group. Assume that both samples an independent random samples from populations having normal distribution. What are the null and alternative hypothesis? A. H_0: sigma_1^2 = sigma_2^2 B. H_0: sigma_1^2 = sigma_2^2 C. H_0: sigma_1^2 notequalto sigma_2^2 H_1: sigma_1^2 = sigma_2^2 D. H_0: sigma_1^2 = sigma_2^2 H_1: sigma_1^2

Explanation / Answer

here test stat F =(s1/s2)2 =(1.61/1.49)2 =1.17

p value for above on tailed F test and 21 degrees of freedom for both numerator and denominator =0.3629

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