In Exercises 520, assume that the two samples are

Chapter 9, Problem 6

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In Exercises 520, assume that the two samples are independent simple random samplesselected from normally distributed populations, and do not assume that the populationstandard 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. Color and Cognition In the Chapter Problem, it was noted that researchers conducted astudy to investigate the effects of color on cognitive tasks. Words were displayed on a computerscreen with background colors of red and blue. Results from scores on a test of wordrecall are given below. Use a 0.05 significance level to test the claim that the samples arefrom 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 memoryrecall scores?Red Background: n = 35, x = 15.89, s = 5.90Blue Background: n = 36, x = 12.31, s = 5.48