Given a mean of -4.3 and a standard deviation of 26,what is the equivalent draw from a normal distribution for a standard normal sample variable of 0.67?
A) -13.12
B) 03.12
C) 13.12
D) 23.12

Question

Quizplus · Accepted Answer

To convert a standard normal variable (Z) to a normal variable with given mean (μ) and standard deviation (σ), we use the formula:

X = Zσ + μ

Substituting the given values, we get:

X = 0.67 x 26 + (-4.3) = 13.12

Therefore, the equivalent draw from a normal distribution for a standard normal sample variable of 0.67 is 13.12. The closest choice is C) 13.12.

Given a Mean of -4