If 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?

Respuesta :

Answer:

You would prefer a z-score of 2, because the higher the z-score, the higher your grade was relative to your classmates.

Step-by-step explanation:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For example

If the z-score of your grade was -2, it means that your grade was 2 standard deviations below the average grade.

Otherwise, if the z-score of your grade was 2, it means that your grade was 2 standard deviations above the average higher.

The higher the z-score, the better.

So you would prefer a z-score of 2, because the higher the z-score, the higher your grade was relative to your classmates.