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

300

(second answer choice)

Explanation:

Recall that the Z-distribution is defined as :

`Z=(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=(X-\mu)/(\sigma) \\2.5=(X-200)/(40)\\40*2.5 =X-200 \\100 = X-200\\X=300`