document.write( "Question 1192283: Determine the mean (μx̅), variance (σ2\r
\n" ); document.write( "\n" ); document.write( "x̅), and standard deviation (σx̅). \r
\n" ); document.write( "\n" ); document.write( "a. A random sample of size 4 is taken with replacement from a population with
\n" ); document.write( "μ = 12 and σ2 = 8
\n" ); document.write( "b. A random sample of size 64 taken from a population from a population of 1200 whose μ=
\n" ); document.write( "72.12 and σ2= 12
\n" ); document.write( "

Algebra.Com's Answer #824202 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
a. mean is 12, sd is sqrt(8)/2 or sqrt(2)
\n" ); document.write( "b. mean 72.12, sd is sqrt(12)/8 or sqrt(3)/4\r
\n" ); document.write( "\n" ); document.write( "variance in pop is 8, so variance in sample is 8/4 or 2 and the sd is sqrt(2)
\n" ); document.write( "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.
\n" ); document.write( "
\n" );