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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). 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? O A. Ho: H1 = H2 H;: H1 > H2 O B. Ho: H1 2 H2 H: H,

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). 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? O A. Ho: H1 = H2 H;: H1 > H2 O B. Ho: H1 2 H2 H: H,

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Response Summary Statistics Background X Blue 31 3.53 0.57 Red H2 50 2.85 0.83 Print Done
Transcribed Image Text:Response Summary Statistics Background X Blue 31 3.53 0.57 Red H2 50 2.85 0.83 Print Done
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). 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: H1 = H2 B. Ho: H12 H2 H1: H1 > H2 OC. Ho: H1 # H2 H1: H1 <H2 D. Ho: H1 = H2 H4: H1 # H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. C. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. D. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. b. 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)? |<Hy-H2< (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 contains so there V sufficient evidence to support the claim that blue enhances performance on a creative task.
Transcribed Image Text: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). 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: H1 = H2 B. Ho: H12 H2 H1: H1 > H2 OC. Ho: H1 # H2 H1: H1 <H2 D. Ho: H1 = H2 H4: H1 # H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. C. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. D. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. b. 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)? |<Hy-H2< (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 contains so there V sufficient evidence to support the claim that blue enhances performance on a creative task.
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