Words are displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given. Use a 0.05 significance level to test the claim that the samples are from populations with the same mean. Does the background color appear to have an effect on word recall scores? If so which color appears to be associated with higher word memory recall scores?

red n=35, x hat=15.89, s=5.90

blue n=36, x hat= 12.31, s=5.48

A. test the given claim using the p value method or critical value method.

B. Construct a confidence interval suitable for testing the given claim.