Derrick and Julie took two stats tests with different means and standard deviations. Derrick scored an 85 on both tests, while Julie scored a 75 on the first and 95 on the second. They both totaled 170 points, but Julie claims her total is better. However, Julie's claim is incorrect because when their scores are converted to z-scores, Derrick's total z-score is higher, showing his total was actually better.

1. 1.
The first Stats test had a mean of 65 and a standard deviation of 10 points; the second had a mean
of 85 and a standard deviation of 5 points. Derrick scored an 85 on both tests. Julie scored a 75
on the first test and a 95 on the second. They both totaled 170 points on the two tests, but Julie
claims that her total is better. Explain.
Select the correct choice below and, if necessary fill in the answers within your choice.
(Round three decimal places as needed
A. Julie's claim is incorrect. Derrick's z-scores are __ for the first test and ___for the second test.
Julie's z-scores are ___ for the first test and ___ for the second test. Derrick's total is __ which is
more than Julie's total, __.
B. Julie's claim is correct. Derrick's z-scores are __ for the first test and __ for the second test.
Julie's z-scores are __ for the first test and __ for the second test. Derrick's total is __ which is
less than Julie's total, ___.
C. Julie's claim is incorrect. They both totaled 170 points on the two tests so neither student did
better than the other.