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 200students in group 1 had a mean score of 24.5 with a standard deviation of 4.3, while the 200 students in group 2 had a mean score of 16.3 with a standard deviation of 3.1.Complete parts (a) and (b) below.(a) Determine the 90% confidence interval for the difference in scores, mu 1 minus mu 2.Interpret the interval. ( , ) (Round to three decimal places asneeded.)Interpret the interval. Choose the correct answer below. A.There is a 90% probability that the difference of the means is in the interval. 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. 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?A. Since the 90% confidence interval does not contain zero, the results suggest that priming does not have an effect on scores. B.Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores. C.Since the 90% confidence interval contains zero, the results suggest that priming does have an effect on scores. D.Since the 90% confidence interval contains zero, the results suggest that priming does not have an effect on scores.