Question

A warje population as a bell shaped distribution with a mean of 200 and a standard deviation of 40 which 1 of the following measurements has AZ score of 2.5?
100
300
280
120

Answer 1

Answer:

300

(second answer choice)

Step-by-step explanation:

Recall that the Z-distribution is defined as :

$Z=\frac{X-\mu}{\sigma}$

and therefore, to obtain a Z = 2.5 when the mean value $\mu$ =200, and the standard deviation $\sigma$ = 40 , we solve for "X":

$Z=\frac{X-\mu}{\sigma} \\2.5=\frac{X-200}{40}\\40*2.5 =X-200 \\100 = X-200\\X=300$