Question

f your score on your next statistics test is converted to a z​ score, which of these z scores would you​ prefer: minus​2.00, minus​1.00, ​0, 1.00,​ 2.00? Why? A. The z score of minus2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. B. The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score. C. The z score of minus1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score. D. The z score of 0 is most preferable because it corresponds to a test score equal to the mean. E. The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores.

Answer 1

E. The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores.

Explanation:

A z score tells us how many standard deviations away from the mean a given value is.

The higher the z-score, the farther above the mean the value is. Since we are referring to the score on a test, we want the value to be as far above the mean as possible; this means that our best choice out of those given is 2.00, since it is 2 standard deviations above the mean.