Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 22.1 with a standard deviation of 4, while the 200 students in group 2 had a mean score of 17.1 with a standard deviation of 3.4. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, μ₁ −μ2. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a
board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a
professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form
of priming. The 200 students in group 1 had a mean score of 22.1 with a standard deviation of 4, while the 200 students
in group 2 had a mean score of 17.1 with a standard deviation of 3.4. Complete parts (a) and (b) below.
(a) Determine the 90% confidence interval for the difference in scores, μ₁ −µ2. Interpret the interval.
The lower bound is
The upper bound is
(Round to three decimal places as needed.)
Transcribed Image Text:Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 22.1 with a standard deviation of 4, while the 200 students in group 2 had a mean score of 17.1 with a standard deviation of 3.4. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, μ₁ −µ2. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.)
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