Connie and Tom Both Got 75% Correct on the Research

question 44

Multiple Choice

Connie and Tom both got 75% correct on the research methods final exam. The mean for all women who took the test was 80% and the median was 75% with a standard deviation of 5%. The mean for the men was 65% correct and the median was 65% with a standard deviation of 10%. What is the z-score for Connie and Tom relative to those of their own sex?

• A) Connie's z-score is +1, Tom's is -2, so Connie really did better.
• B) Both Connie and Tom have the same z-score, 1, so they are the same.
• C) Connie's z-score is -1, Tom's is +1, so Tom really did better.
• D) Connie's z-score is 0 and Tom's is +1, so he did worse.

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Definitions:

Mean

The average of a set of numbers, calculated by dividing the sum of the values by the number of values.

Standard Normal Variable

A standard normal variable is a random variable that follows a normal distribution with a mean of zero and a standard deviation of one.

Standard Normal Distribution

A normal distribution with a mean of 0 and a standard deviation of 1, serving as a basis for comparison for other distributions.

Mean

The arithmetic average of a set of values, calculated by adding all the values together and dividing by the number of values.