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). E Click the icon to view the summary statistics. 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? B. Ho: H1 #H2 O A. Ho: H1ZH2 H: H1 H2 O D. Ho: H1 = H2 H1: H1 #H2 The test statistic, t, is (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). E Click the icon to view the summary statistics. 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? B. Ho: H1 #H2 O A. Ho: H1ZH2 H: H1 H2 O D. Ho: H1 = H2 H1: H1 #H2 The test statistic, t, is (Round to two decimal places as needed.)
Chapter5: Decimals
Section5.5: Averages And Probability
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Transcribed Image Text: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).
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
E Click the icon to view the summary statistics.
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: H12H2
H1: H1 <H2
B. Ho: H1 + H2
H1: H1<H2
*c. Ho: H1 =H2
H1: H1> H2
O D. Ho: H1 = H2
H1: H1 #H2
The test statistic, t, is
(Round to two decimal places as needed.)
Transcribed Image Text:Response summary statistics
Background
Blue
H1
34
4.44
0.65
Red
H2
47
3.56
0.82
Print
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