Finding Probability of Mean for Random Sample
Homework Answers
P(xbar<3800) = P((xbar-mean)/(s/vn) <(3800-4064 )/(460/sqrt(20)))
=P(Z<-2.57)
= 0.0051 (check standard normal table)
μ=4064
σ=460
n=20
xbar = sample mean
P(xbar < 3800) = P( (xbar-μ)/(σ/√n) < (3800-4064)/(460/√20) ) = P(z < -2.57) = .0051
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