In the Chapter Problem, it was noted that researchers conducted a study to investigate the effects of color on cognitive tasks. 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 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?

Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Do the following:
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.

Red Background: 35, 15.89,s 5.90 Blue Background: n-36,--. 12.31,5# 5.48