Researchers from the University of British Columbia conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given below. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task."

a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task.

b. Construct the confidence interval appropriate for the hypothesis test in part (a). What is it about the confidence interval that causes us to reach the same conclusion from part (a)?

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Red Background: n 35, Blue Background: | n 36, 3.39, s0.97 3.97, s = 0.63