An April 2004 article on Hear The Issuescom stated that Amer

An April 2004 article on Hear The Issues.com stated that Americans have an average of 2.24 televisions per household (source: Nielsen Media Research). If the standard deviation for the number of televisions in a U.S. household is 1.2 and a random sample of 80 American households is selected, the mean of this sample belongs to a sampling distribution.

Solution

Using Central Limit theorem it can be stated that if the sample size is enough large (here n=80), then the sampling distribution of sample mean follows normal distribution with mean equal to population mean (here 2.24) and standard deviation /n

=1.2/80=0.13