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.

Question

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

Answer 1

I had maria's z-score as (84-79)/5 = 1.2
and Zoe's as 0.5

what does that mean?
Whose score is closest to the class average?

Answer 2

i have no idea

Answer 3

Since the Z score measures deviation from the mean, the smallest Z score is closest to the mean.

I hope this helps a little more. Thanks for asking.

Answer 4

c. is maria

Answer 5

a
e

Answer 6

a)= 1.2
b)=0.5
c) maria