Question

Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistic

Answer 1

it has to do with z-score.
i am not sure if i got the right answer for the z-score.

Answer 2

z score = (x - m ) / s where m = mean and s = std dev.

Answer 3

i know that but i dont understand what the next step is.

Answer 4

You need to look up the z score on a Standard Normal Distribution Table.