Professor smith wishes to compare the performance of students in her class on multiple choice and fill in the blank exams. She randomly chooses of...

Professor smith wishes to compare the performance of students in her class on multiple choiceand fill in the blank exams. She randomly chooses ½ of class for each test. Ifeach test has standard deviation of 10, what is the probability of detecting atrue difference (µx - µy) of 5 points with a two-tailed test, α = .05, when thesample size is (2) 10 (b) 25 (c) 50 (d) 100?