9. Assume we are looking at University A’s final exam (from the previous problem). (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. 2 catistics 230 All Homework Assignments (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?

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#9 only. Just use #8 for reference

8. Susan and Olivia both took an introductory statistics class, however Susan attends University
A and Olivia attends University B. The final exam for University A has u =
and Susan scored 62 points. The final exam for University B has u =
Olivia scored 1540 points. We want to know who understands statistics better by comparing
Susan's and Olivia's final exam scores. Assuming the student body at each university is
comparable, who performed better on the final exam? Explain.
50 and o = 10
1500 and o = 25 and
9. Assume we are looking at University A's final exam (from the previous problem).
(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.
2
Statistics 230
All Homework Assignments
(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.
Transcribed Image Text:8. Susan and Olivia both took an introductory statistics class, however Susan attends University A and Olivia attends University B. The final exam for University A has u = and Susan scored 62 points. The final exam for University B has u = Olivia scored 1540 points. We want to know who understands statistics better by comparing Susan's and Olivia's final exam scores. Assuming the student body at each university is comparable, who performed better on the final exam? Explain. 50 and o = 10 1500 and o = 25 and 9. Assume we are looking at University A's final exam (from the previous problem). (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. 2 Statistics 230 All Homework Assignments (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.
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