# EBook Problems Normal Critical

### From Socr

## 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

- Choose one answer.

*(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.*

*(d) We need more information to compare Jack's and John's scores.*

### 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?

- Choose one answer.

*(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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