Question

A)We have a normal distribution with a mean of 77 and a standard deviation of 9. What is the Z (standardized) value of the value 72? Round to 3 decimal places.

B)We have a normal distribution with a mean of 14 and a standard deviation of 2. What is the Z (standardized) value of the value 15? Round to 3 decimal places.

Answer 1

Solution :

Given that ,

(A)

mean = = 77

standard deviation = = 9

x = 72

z = (x - ) / = (72 - 77) / 9 = -5 / 9 = -0.556

Z value = -0.556

(B)

mean = = 14

standard deviation = = 2

x = 15

z = (x - ) / = (15 - 14) / 2 = 1 / 2 = 0.5

Z value = 0.5