document.write( "Question 955025: If X has a normal distribution with mean 80 and standard deviation 12, what is the distribution of the mean of a sample of 9 of these values? Give the values of the parameters.\r
\n" ); document.write( "\n" ); document.write( "Please help me with this - \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If X has a normal distribution with mean 80 and standard deviation 12, what is the distribution of the mean of a sample of 9 of these values? Give the values of the parameters.\r
\n" ); document.write( "\n" ); document.write( "Please help me with this, I'm so confused. Thank you.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #583350 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If X has a normal distribution with mean 80 and standard deviation 12, what is the distribution of the mean of a sample of 9 of these values? Give the values of the parameters.
\n" ); document.write( "-----
\n" ); document.write( "The Central Limit Theorem says:
\n" ); document.write( "1. The mean of the sample means = the mean of the population.
\n" ); document.write( "So your x-bar = u = 80
\n" ); document.write( "----
\n" ); document.write( "2. The std of the sample means = (std of population)/sqrt(sample size)
\n" ); document.write( "So your sample std = 12/sqrt(9) = 12/3 = 4
\n" ); document.write( "--------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-----------
\n" ); document.write( "
\n" );