A complete survey of all Washington College students reveals that men have had 3.69 AP exams with a standard deviation of 4.2. Women have had 2 AP exams on average with a standard deviation of 2. Assume that you are a woman who has had one AP exam. How many women at Washington College have had more AP exams than you? Indicate both the percentage and the actual number of women who have had more AP exams than you. There are 700 women in the college. Show all of your work.
What will be an ideal response?
1) Standard score = (1?2)/2 = ?0.5
2) Z-score for one tail is 0.30854
3) 30.854% had fewer and 1.30854 or 69.146% had more.
4) 0.69146*700 = 484 women have had more AP exams than me.
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