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).   Background μ n x s Blue μ1 49 3.78 0.67 Red μ2 47 3.27 0.96 The test​ statistic, t, is enter your response here. ​(Round to two decimal places as​ needed.)   The​ P-value is enter your response here. ​(Round to three decimal places as​ needed.)

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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).

 
Background
μ
n
x
s
Blue
μ1
49
3.78
0.67
Red
μ2
47
3.27
0.96
The test​ statistic, t, is
enter your response here.
​(Round to two decimal places as​ needed.)
 
The​ P-value is
enter your response here.
​(Round to three decimal places as​ needed.)
 
 

 

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