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 summary statistics. a. Use a 0.05 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 211₂ H₁: H₁

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

The confidence interval contains only zero, positive values, or only negative values, so there is or is not sufficient evidence to support the claim that blue enhances performance on a creative task. 

The test statistic, t, is. (Hound to two decimal places as needed)
The P-value is (Hound to three decimal places as needed)
State the conclusion for the test.
OA Reject the null hypothesis. There is not sufficiant avidence to support the claim that blue anhancas parformance on a creative task
OB. Fail to reject the null hypothesis. There is not sufficient avidance to support the claim that blue anhancas performance on a creativa task.
OC. Reject the null hypothesis. There is sufficient evidence to support the claim that blus enhances performance on a creative task.
OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blus 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.)
What is it about the confidence interval that results in the same conclusion from part (a)?
▼so there
The confidence intervall contains
sufficient evidence to support the claim that blue enhances performance on a creative task.
Transcribed Image Text:The test statistic, t, is. (Hound to two decimal places as needed) The P-value is (Hound to three decimal places as needed) State the conclusion for the test. OA Reject the null hypothesis. There is not sufficiant avidence to support the claim that blue anhancas parformance on a creative task OB. Fail to reject the null hypothesis. There is not sufficient avidance to support the claim that blue anhancas performance on a creativa task. OC. Reject the null hypothesis. There is sufficient evidence to support the claim that blus enhances performance on a creative task. OD. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blus 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.) What is it about the confidence interval that results in the same conclusion from part (a)? ▼so there The confidence intervall contains sufficient evidence to support the claim that blue enhances performance on a creative task.
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 summary statistics.
a. Use a 0.05 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 211₂
H₁: H1 <H₂
Response Summary Statistics
Background
Blue
Red
Print
μ
n
X
+₁ 34 3.57
H₂ 46 2.89
C
Done
S
0.58
0.89
OB. Ho: H₁
H₁: H₁
OD. Ho: H₁
H₁ H₁
H₂
H₂
H¹₂
H₂
- X
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). Click the icon to view the summary statistics. a. Use a 0.05 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 211₂ H₁: H1 <H₂ Response Summary Statistics Background Blue Red Print μ n X +₁ 34 3.57 H₂ 46 2.89 C Done S 0.58 0.89 OB. Ho: H₁ H₁: H₁ OD. Ho: H₁ H₁ H₁ H₂ H₂ H¹₂ H₂ - X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman