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On a particular exam, the average for those who did not attend the exam review session was 77% with a standard deviation of 10%. For those who did attend the exam review session, the average was 83% with a standard deviation of 3%. Assume that the exam marks for those who did not attend the review session and for those who did attend the review session are independent.
a) What is the standard deviation of the difference in the exam marks between those who did not and those who did attend the review session?
109.00 9.539 10.440 2.646 7.00
b) Suppose the difference in the exam marks follow a normal distribution. If Andy is a student who is randomly chosen from the group that did not attend the exam review session and Benny is a student who is randomly chosen from the group that attend the exam review session, what is the probability to observe Andy has a lower exam mark than Benny?
0.2843 0.7157 0.57 There is not enough information to determine this. 0.7357
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