Two researchers conducted a study in which two groups of students were asked to

Question

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 23.3 with a standard deviation of 4.5, while the 200 students in group 2 had a mean score of 17.6 with a standard deviation of 4.1. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, mu_1 - mu_2. Interpret the interval. (Round to three decimal places as needed.)

Explanation / Answer

Test Statistic, t: 13.2415
Critical t: ±1.648723
P-Value: 0.0000

Degrees of freedom: 394.6001

90% Confidence interval:
4.990283 < µ1-µ2 < 6.409717

90% Confidence interval: ( 4.990 < µ1-µ2 < 6.410 )

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