SOLUTION: A set of data has a normal distribution, has a mean of 23.7 and a standard deviation of 6.1. What is the z-score of a sample with a value of 38.95?

Question 1064388: A set of data has a normal distribution, has a mean of 23.7 and a standard deviation of 6.1. What is the z-score of a sample with a value of 38.95?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The Normal distribution z-score is
:
z-score = ( X - mean ) / standard deviation
:
z-score = ( 38.95 - 23.7 ) / 6.1 = 2.5
:
Note to determine the Normal distribution probability ( X < 38.95 ) we use our calculated z-score and the table of z-scores
:

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