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.
a. Use a 0.01 significance level to test the claim that blue enhances
performance a creative task.
What are the null and alternative hypotheses?
OA. Ho: H₁ H₂
H₁ H₁ <H₂
C. Ho: ₁ = ₂
H₁ H₁ H₂
H₂
H₁ H₁ H₂
(Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
OB. Ho: H1 H₂
H₁: H₁ H₂
The test statistic, t, is
D. Ho: H₁
A. Reject the null hypothesis. There is sufficient evidence to support
the claim that blue enhances performance on a creative task.
OB. Reject the null hypothesis. There is not sufficient evidence to
support the claim that blue enhances performance on a creative
task.
OC. Fail to reject the null hypothesis. There is not sufficient evidence
to support the claim that blue enhances performance on a
creative task.
OD. Fail to reiect the null hypothesis There is sufficient evidence to
Transcribed Image Text:→
O
O
O
о
о
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).
Response Summary Statistics
Background μl
Blue
Red
The Lost Statistic
The P-value is
Print
n
X
H₁ 47 4.36
H₂
50
3.85
Done
S
0.63
0.85
hd to the commar places as they
State the conclusion for the test.
(Round to three decimal places as needed.)
X
O A. Reject the null hypothesis. There is sufficient evidence to support
the claim that blue enhances performance on a creative task.
OB. Reject the null hypothesis. There is not sufficient evidence to
support the claim that blue enhances performance on a creative
task.
OC. Fail to reject the null hypothesis. There is not sufficient evidence
to support the claim that blue enhances performance on a
creative task.
OD. Fail to reiect the null hypothesis There is sufficient evidence to
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