SOLUTION: Determine the mean (μxÌ…), variance (σ2 xÌ…), and standard deviation (σxÌ…). a. A random sample of size 4 is taken with replacement from a population with μ = 12 and Ï

Algebra ->  Probability-and-statistics -> SOLUTION: Determine the mean (μxÌ…), variance (σ2 xÌ…), and standard deviation (σxÌ…). a. A random sample of size 4 is taken with replacement from a population with μ = 12 and Ï      Log On


   

Question 1192283: Determine the mean (μx̅), variance (σ2
x̅), and standard deviation (σx̅).
a. A random sample of size 4 is taken with replacement from a population with
μ = 12 and σ2 = 8
b. A random sample of size 64 taken from a population from a population of 1200 whose μ=
72.12 and σ2= 12
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a. mean is 12, sd is sqrt(8)/2 or sqrt(2)
b. mean 72.12, sd is sqrt(12)/8 or sqrt(3)/4
variance in pop is 8, so variance in sample is 8/4 or 2 and the sd is sqrt(2)
variance in pop is 12, so variance in sample of size 64 is 12/64 and sd is 2 sqrt(3)/8 or sqrt(3)/4.