MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
OA. Ho: H₁ H₂
H₁ H₁ H₂
OC. Ho: H₁
<
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?
H2
H₁: H₁ H₂
Question 8 of 11 >
The test statistic, t, is. (Round to two decimal places as needed.)
(Round to three decimal places as needed.)
The P-value is
State the conclusion for the test.
zero,
only negative values,
only positive values,
SKIL
OA. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.
OB. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.
OC. Reject the null hypothesis. There is not 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 task.
so there
the confidence interval that results in the same conclusion from part (a)?
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 <0
(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
OB. Ho: H₁ H₂
H₁: Hy <H₂
is
OD. Ho: H₁ H₂
H₁: Hy <H₂
is not
Background H
n
H1
49
H₂ 48
Blue
Red
sufficient evidence to support the claim that blue enhances performance on a creative task.
X
3.79
2.87
S
0.56
0.89
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