# EBook Problems Normal Critical

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## EBook Problems Set - Nonstandard Normal Distribution: Finding Scores (Critical Values)

### Problem 1

Given the following summary statitics, which of the statements below is true?

Chemistry test score of Class A: Mean = 70 Standard deviation = 10 Chemistry test score of Class B: Mean = 70 Standard deviation = 5

Jack is in class A and got a score of 80 John is in class B and got a score of 80

(a) John's performance in chemistry is better than Jack's.
(b) Jack and John did equally well in chemistry.
(c) John's and Jack's scores in chemistry are not comparable.

### Problem 2

A statistics professor teaches two different sections of the same class. To prevent cheating, the classes get different midterms. This year, the midterm for Section A had a mean of 60% with a standard deviation of 10%. The midterm for Section B had a mean of 65% and a standard deviation of 5%. Kefei scored 75% in Section A, while her friend Bob in Section B scored 75%. Grades on this midterm are based upon how each student does relative to the other students in his or her class.

Which of the following best describes the situation?

(a) Because the midterms contained different questions, we can't compare their performance.
(b) Relative to other classmates, both Bob and Kefei did equally well.
(c) Relative to other classmates, Bod did better on the exam than Kefei.
(d) Relative to other classmates, Kefei did better on the exam than Bob.
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