Posted by **Peter** on Friday, January 9, 2009 at 10:20pm.

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

- Statistics -
**Reiny**, Friday, January 9, 2009 at 10:46pm
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?

- Statistics -
**Peter**, Friday, January 9, 2009 at 10:51pm
i have no idea

- Statistics -
**PsyDAG**, Saturday, January 10, 2009 at 10:19am
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.

- Statistics -
**Anonymous**, Thursday, July 18, 2013 at 2:57pm
c. is maria

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