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# Susan and Olivia both took an introductory statistics class, however, Susan attends UniversityA and Olivia attends University B.

Susan and Olivia both took an introductory statistics class, however, Susan attends UniversityA and Olivia attends University B. The final exam for University A has µ = 50 and σ = 10and Susan scored 62 points. The final exam for University B has µ = 1500 and σ = 25 andOlivia scored 1540 points. We want to know who understands statistics better by comparingSusan’s and Olivia’s final exam scores. Assuming the student body at each university is comparable, who performed better on the final exam? Explain.9.

Assume we are looking at University A’s final exam

(a) With the information given, are you able to calculate the probability of a randomly selected student scoring higher than 60 points?

(b) What would you have to assume about the distribution of the exam scores in order to answer part (a)? Make your assumption(s) and calculate your answer.

(c) With the information given, are you able to calculate the probability that a randomly selected group of 10 students will have a mean score above 60 points?

(d) What would you have to assume about the distribution of the exam scores in order to answer part (c)? Make your assumption(s) and calculate your answer.

(e) With the information given, are you able to calculate the probability that a randomly selected group of 100 students will have a mean score above 60 points?

(f) What would you have to assume about the distribution of the exam scores in order to answer part (e)? Make your assumption(s) and calculate your answer.