Question: 4. Dear Math Helper, Please help settle this friendly dispute. My friend, let's call her Pam, took the same history course I did, but we

4. Dear Math Helper, Please help settle this friendly dispute. My friend, let's call her Pam, took the same history course I did, but we had different professors. On the final exam, I scored 82 out of 100 points while she scored 47 out of 63 points. My percent score, 82%, is greater than her percent score, which is about 75%. So I think I did better than she did on the final exam. But she tells me that both sets of scores are normally distributed and that I have to look at the standard scores to find out who did better. Pam tells me that the mean and standard deviation for my test are 76.1 and 6.5, respectively, while hers are 40 and 4.2 respectively, so if I "do the math," then I should see why she performed better. Can you please explain what she means by standard scores and can you "do the math" that she mentions. Yours, Confused History Buff P.S. If she did perform better, I have to buy her dinner! Dear Confused History Buff, Type your response here
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