Question

What is the z-score of X, if n = 3, `mu= 55`, SD =2, and X =56?

Answer 1

Z-score is `-0.866`

Explanation:

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

As `mu=55`, `sigma=2`, `n=3` and `x=56`

z-score is `(56-55)/(2/sqrt3)=((-1)*sqrt3)/2=-0.866`