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 an effect on the variation of word recall scores? n xs Red Background 35 15.38 5.99 Blue Background 37 12.15 5.45 What are the null and alternative hypotheses? A. H_0: sigma_1^2 notequalto sigma_2^2 H_1: sigma_1^2 = sigma_2^2 B. H_0: sigma_1^2 = sigma_2^2 H_1: sigma_1^2

Explanation / Answer

The statistical software output for this problem is:

Two sample variance summary 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,

P - value = 0.577

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 34 36 1.2079825 1.2079825 0.5768

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