9.5blue u1 n=50 x=4.42 s=0.53red u2 n=31 x=3.59 s=0.82 Researchers conducted trials to investigate the effects of color on creativity. Subjects with a redbackground were asked to think of creative uses for a brick; other subjects with a blue backgroundwere given the same task. Responses were scored by a panel of judges and results from scores ofcreativity are given in the accompanying table. Higher scores correspond to more creativity. Theresearchers make the claim that "blue enhances performance on a creative task." Assume that thetwo samples are independent simple random samples selected from normally distributed populations,and do not assume that the population standard deviations are equal. Complete parts (a) and (b).Click the icon to view the summary statistics.a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task.What are the null and alternative hypotheses?A. Ho: ₁²₂H₁: M₁ The P-value is (Round to three decimal places as needed.)State the conclusion for the testOA. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative taskOB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative taskOC. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative taskb. Construct the confidence interval suitable for testing the claim in part (a). What is it about the confidence interval that results in the same conclusion from part (a)?<₁-₂0(Round to two decimal places as needed.)What is it about the confidence interval that results in the same conclusion from part (a)?The confidence interval containsso theresufficient evidence to support the claim that blue enhances performance on a creative task.

BackgroundnsBlue504.420.53Red313.590.82

Researchers 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 in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." 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. Complete parts (a) and (b). Click the icon to view the statiction

Researchers 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 in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." 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. Complete parts (a) and (b). Click the icon to view the statiction

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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