If x is a normal random variable with mean ($\mu$)equal to 80 and a standard deviation ($\sigma$)of 5, the z score for x = 88 is ___.
A)1.8
B)-1.8
C)1.6
D)-1.6
E)8.0

Question

Quizplus · Accepted Answer

The formula for calculating z-score is:

z = (x - mean) / standard deviation

Substituting the given values, we get:

z = (88 - 80) / 5 = 1.6

Therefore, the z score for x = 88 is 1.6, which corresponds to choice C.

If X Is a Normal Random Variable with Mean μ\muμ )Equal to 80 and a Standard Deviation

If X Is a Normal Random Variable with Mean $\mu$ )Equal to 80 and a Standard Deviation