A variable "x" is normally distributed with mean = 16 and standard deviation = 6. Match each data with the following criteria.

Question

Determine the z-score if x=17

Determine the z-score if x=11.

What value of x has a z-score of 1.5?

What value of has a z-score of -0.2?

What value of x has a z-score of 0?

answer choices:

24, 13.8, .33, 15, -0.67

Answer 1

.33 is the best answer for z score of 17 when mean is 16 and SD =6

real z score for 17 is closer to .17

-0.67 is the best answer for z score of 11 when mean is 16

24 is the best answer for x value when z score is 1.5 1.5(6) = 9. 16+9=25

real answer is 25

15 is the best answer for x value when z score =0, although the real answer is the mean x=16

real answer is 16. 15 has a z score closer to -0.17

13.8 is the best answer for the x value when z score = -.2

z = -1.7 is closer to the z score for 13.8 with mean 16 and sd = 6