Question

What is the z-score of sample X, if `n = 256, mu= 17, St. Dev. =80, and mu_X =22`?

Answer 1

`z=-1`

Explanation:

Given -

`n=256`
`mu=17`
`SD=80`
`mu_x=22`
`z=(mu-mu_x)/(SE)`
`SE = (SD)/sqrt(n)=80/sqrt(256)=80/16=5`
`z=(17-22)/5=(-5)/5=-1`