Posted by **Bob** on Saturday, January 10, 2009 at 12:45am.

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

- Algebra II -
**drwls**, Saturday, January 10, 2009 at 2:07am
The z score is the difference from the mean divided by the standard deviation FOR THE PARTICULAR CLASS THE PERSON IS IN. in Maria's case the z score is (84-78)/5 = 1.2. The higher positive z score is better relative to the class.

Now see if you can do the other parts of the question.

- Algebra II -
**Damon**, Saturday, January 10, 2009 at 10:14am
drwls, now at least three of us have answered this, all with the same answer.

- Algebra II -
**drwls**, Saturday, January 10, 2009 at 2:34pm
Hi Damon. Sorry I missed the other posts. At least I wasn't "odd man out" again with my sloppy math.

- Algebra II -
**cat dog**, Tuesday, November 27, 2012 at 6:29am
A)a

B)b

C) c

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