Words were displayed on a computer screen with background colors of red and blue

Question

Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have as effect on the variation of word recall scores? What are the null and alternative hypotheses? A. H_0: sigma^2_1 = sigma^2_2 H_1: sigma^2_1 notequalto sigma^2_2 B. H_0: sigma^2_1 = sigma^2_2 H_1: sigma^2_1 greaterthanorequalto sigma^2_2 C. H_0: sigma^2_1 = sigma^2_2 H_1: sigma^2_1 lessthan sigma^2_2 D. H_0: sigma^2_1 notequalto sigma^2_2 H_1: sigma^2_1 = sigma^2_2 Identify the test statistic. F =

Explanation / Answer

here F stat =(s1/s2)2 =(5.92/5.41)2  =1.20 ;

for 34 and 36 degree of freedom; p value =0.5945

as p value is greater then 0.05 level ;we fail to reject null hypothesis

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