SOLUTION: If a population is known to be normally distributed with muμequals=78 and sigmaσequals=16​, what will be the characteristics of the sampling distribution for

Algebra ->  Probability-and-statistics -> SOLUTION: If a population is known to be normally distributed with muμequals=78 and sigmaσequals=16​, what will be the characteristics of the sampling distribution for      Log On


   



Question 1059211: If a population is known to be normally distributed with
muμequals=78
and
sigmaσequals=16​,
what will be the characteristics of the sampling distribution for
x overbarx
based on a random sample of size
16
selected from the​ population?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming the question is asking what is the mean of a sampling distribution of size 16 taken from N~(78,16)
The sampling distribution will have the same mean, and the sd will be the sqrt of the sample size.
It will be normally distributed with mean 78 and sd 4.