# Assessing Z-Scores and Outliers

See the attached file.

1. Thousands of students apply for admission to graduate schools in economics each year with the intention of obtaining a PhD. The mean and standard deviation of these 129 productivity scores were used to compute a z score for each economics program. Harvard University had the highest z score (z=5.08) and hence was the top ranked school; Howard University was ranked last with the lowest z score (z+-0.81).

a. Interpret the z score for Harvard

b. Interpret the z score for Howard

c. The authors of the southern economic journal article note that only 44 out of 129 schools have positive z scores indicating that the distribution of overall productivity is skewed to the right. Do you agree? (check your answer by constructing a histogram for the z scores in the file attached.)

2. A sample data set has a mean of 57 and a standard deviation of 11. Determine whether each of the following sample measurements are outliers

a. 65

b. 21

c. 72

d. 98.

https://brainmass.com/statistics/z-test/assessing-scores-outliers-523454

#### Solution Preview

Thanks for letting me work on your post. Here is my explanation:

1. a) It means that the economics program at Harvard is ...

#### Solution Summary

The solution assesses the z-scores and outliers.