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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? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. C What is it about the confidence interval that results in the came conclusion from nort (a)? OB. Ho: H₁ H2 H₁: H₁ H₂ OD. Hoi H2H2 H₁: Hy

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? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. C What is it about the confidence interval that results in the came conclusion from nort (a)? OB. Ho: H₁ H2 H₁: H₁ H₂ OD. Hoi H2H2 H₁: Hy

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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 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: H#u2 H₁: M₁ <H₂ OC. Ho: H₁ H₂ H₁: 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. B. Ho: ₁ = ₂ H₁: H₁ H₂ What is it about the confidence interval that results in the same conclusion from nart (12 OD. Ho: H₁ H₂ H₁: M₁ <H₂ A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. D. 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)? <H₁-H₂< (Round to two decimal places as needed.)
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 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: H#u2 H₁: M₁ <H₂ OC. Ho: H₁ H₂ H₁: 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. B. Ho: ₁ = ₂ H₁: H₁ H₂ What is it about the confidence interval that results in the same conclusion from nart (12 OD. Ho: H₁ H₂ H₁: M₁ <H₂ A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. D. 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)? <H₁-H₂< (Round to two decimal places as needed.)
The test statistic, The P-value is State the conclusi Response Summary Statistics Background μ Blue Red The confidence interval contains H₂ Print A. Fail to reje hce on a creative task. B. Reject the a creative task. C. Fail to reje on a creative task. D. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. n X S 42 4.35 0.62 46 3.55 0.98 Done 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)? Π |<H₁-H₂< (Round to two decimal places as needed.) What is it about the confidence interval that results in the same conclusion from part (a)? so there X sufficient evidence to support the claim that blue enhances performance on a creative task.
Transcribed Image Text:The test statistic, The P-value is State the conclusi Response Summary Statistics Background μ Blue Red The confidence interval contains H₂ Print A. Fail to reje hce on a creative task. B. Reject the a creative task. C. Fail to reje on a creative task. D. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task. n X S 42 4.35 0.62 46 3.55 0.98 Done 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)? Π |<H₁-H₂< (Round to two decimal places as needed.) What is it about the confidence interval that results in the same conclusion from part (a)? so there X sufficient evidence to support the claim that blue enhances performance on a creative task.
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