Question

What is the z-score of X, if n = 57, `mu= 35`, SD =5, and X =13?

Answer 1

z-score is `-26.03`

Explanation:

z-score of variable `x` with mean `mu`, and standard deviation `sigma` is given by `(x-mu)/(sigma/sqrtn)`

As `mu=35`, `sigma=5`, `n=57` and `x=13`

z-score is `(13-35)/(5/sqrt35)=((-22)*sqrt35)/5=-26.03`