Homework Help is Here – Start Your Trial Now!
Math
Statistics
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). H₁: H1 H2 C. Ho: H1 = H2 H₁: H1 H2 The test statistic, t, is 4.84. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. Response Summary Statistics Background μ n X S Blue Red μη 32 4.18 0.65 μ2 43 3.32 0.89 Print Done 'A. Reject the null hypothesis. There is sufficient evidence to support B. Reject the null hypothesis. There is not sufficient evidence to supp C. Fail to 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)? (Round to two decimal places as needed.) - ☑

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). H₁: H1 H2 C. Ho: H1 = H2 H₁: H1 H2 The test statistic, t, is 4.84. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. Response Summary Statistics Background μ n X S Blue Red μη 32 4.18 0.65 μ2 43 3.32 0.89 Print Done 'A. Reject the null hypothesis. There is sufficient evidence to support B. Reject the null hypothesis. There is not sufficient evidence to supp C. Fail to 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)? (Round to two decimal places as needed.) - ☑

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
See similar textbooks
icon
Related questions
Question
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). H₁: H1 H2 C. Ho: H1 = H2 H₁: H1 H2 The test statistic, t, is 4.84. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. Response Summary Statistics Background μ n X S Blue Red μη 32 4.18 0.65 μ2 43 3.32 0.89 Print Done 'A. Reject the null hypothesis. There is sufficient evidence to support B. Reject the null hypothesis. There is not sufficient evidence to supp C. Fail to 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)? (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 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). H₁: H1 H2 C. Ho: H1 = H2 H₁: H1 H2 The test statistic, t, is 4.84. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. Response Summary Statistics Background μ n X S Blue Red μη 32 4.18 0.65 μ2 43 3.32 0.89 Print Done 'A. Reject the null hypothesis. There is sufficient evidence to support B. Reject the null hypothesis. There is not sufficient evidence to supp C. Fail to 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)? (Round to two decimal places as needed.) - ☑
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS