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 22.7 with a standard deviation of 4.5, while the 200 students in group 2 had a mean score of 19.7 with a standard deviation of 4.3. Complete parts (a) and (b) below.(a) Determine the 95% confidence interval for the difference in scores, μ1 - μ2. (Round to three decimal places as needed.)Interpret the interval. Choose the correct answer below. A. The researchers are 95% confident that the difference of the means is in the interval. B. There is a 95% probability that the difference of the means is in the interval. C. The researchers are 95% confident that the difference between randomly selected individuals will be in the interval. D. There is a 95% probability that the difference between randomly selected individuals will be in the interval.(b) What does this say about priming?A. Since the 95% confidence interval contains zero, the results suggest that priming does have an effect on scores. B. Since the 95% confidence interval contains zero, the results suggest that priming does not have an effect on scores. C. Since the 95% confidence interval does not contain zero, the results suggest that priming does have an effect on scores. D. Since the 95% confidence interval does not contain zero, the results suggest that priming does not have an effect on scores.