A school psychologist was interested in whether the 12 students in the chess club had a higher or lower mean grade point average(GPA) than the other students at a school. The overall GPA at the school was 2.55 with a standard deviation of 0.5; the distribution of GPAs was approximately normal. The average GPA of students in the chess club was 2.76. Using the .05 significance level, did the chess club represent a population that was different that students in general at this school? a. Use the five steps of hypothesis testing. b. Sketch the distributions involved. c. Figure the confidence limits for the 99% confidence level. d. Explain the results. (Be sure your explanation includes a discussion of the distribution of means, how it is figured, and its role in the overall hypothesis testing process.) *Note* Can you work this out in Microsoft word? Thanks!