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 26.5 with a standard deviation of 4.3, while the 200 students in group 2 had a mean score of 18.9 with a standard deviation of 4.1. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, -u2. Interpret the interval. Lower Bound Upper Bound: Round to three decimal places as needed.) Interpret the interval. Choose the correct answer below A. There is a 90% probability that the difference of the means is in the interval. O B. The researchers are 90% confident that the difference of the means is in the interval ° C. The researchers are 90% confident that the difference between randomly selected individuals will be in the interval. O D. There is a 90% probability that the difference between randomly selected individuals will be in the interval (b) What does this say about priming? 0 A. ( B. ° C. ( D. Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores. Since the 90% confidence interval contains zero, the results suggest that priming does have an effect on scores. Since the 90% confidence interval contains zero, the results suggest that priming does not have an effect on scores Since the 90% confidence interval does not contain zero, the results suggest that priming does not have an effect on scores.

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary confidence interval:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
(with pooled variances)

90% confidence interval results:

Hence,

a) 90% confidence interval:

Lower bound = 6.907

Upper bound = 8.293

Interpretation: Option B is correct.

b) Option A is correct.

Difference Sample Diff. Std. Err. DF L. Limit U. Limit 1 - 2 7.6 0.42011903 398 6.9073535 8.2926465

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