ALTERNATE EXAMPLE (387) What z-score did I get? Analyzing the effect of transformations mel PROBLEM: In a large introductory statistics class, the distribution of scores on a recent test follows an...

Extracted text: ALTERNATE EXAMPLE (387) What z-score did I get? Analyzing the effect of transformations mel PROBLEM: In a large introductory statistics class, the distribution of scores on a recent test follows an approximately Normal distribution with a mean of 82.4 and a standard deviation of 5.1. Let X be the test score for a randomly selected student. To test the students' grasp of the material, the teacher cleverly decides to convert all the scores to z-scores and then report these values to students. If Z is the z-score for the randomly selected student, then X -82.4 5.1 (a) Find the mean of Z. (b) Calculate and interpret the standard deviation of Z.