Question

A population of values has a normal distribution with μ=65.1μ=65.1 and σ=4.8σ=4.8. You intend to draw a random sample of size n=49n=49.

Find P₇₆, which is the mean separating the bottom 76% means from the top 24% means.
P₇₆ (for sample means) =

Answer 1

mean μ=	65.1
standard deviation σ=	4.8000
sample size       =n=	49
std error=σx̅=σ/√n=	0.686

for 76th percentile critical value of z=		0.71
therefore corresponding value=mean+z*std deviation=			65.59