Posted by **Peter** on Friday, January 9, 2009 at 9:40pm.

Maria and Zoe are taking Biology 105 but are in different classes. Maria's class has an average of 78% with a standard deviation of 5% on the midterm, whereas Zoe's class has an average of 83% with a standard deviation of 12%. Assume that scores in both classes follow a normal distribution.

A. Convert Maria's midterm score of 84 to a standard z score.

which is correct?

a. 0.083

b. 0.5

c. 0.2

d. 1.2

e. 6

B Convert Zoe's midterm score of 89 to a standard z score.

a. 1.2

b. 0.5

c. 6

d. 0.917

e. 2.2

C. Who did better relative to her class?

a. Maria

b. Zoe

c. They performed the same.

d. Neither

e. Cannot determine

- AP Statistics -
**drwls**, Saturday, January 10, 2009 at 2:09am
This question was answered after it was reposted later

- AP Statistics -
**Chloe W.**, Sunday, January 15, 2017 at 3:41pm
Maria's Z-score was 1.2

Zoe's Z-score was .5

Since a Z-score of .5 is closer to 0 (the mean) it means she scored higher than Zoe.

2 reasons behind it... the class avg was higher in Zoe's class, plus the standard deviation was more than double (it was 12 vs Maria's 5)

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