5. Household size in the United States has a population mean of ? = 2.6 people and population
standard deviation of = 1.4 people .
standard deviation of = 1.4 people .
Using the central limit theorem, what is the probability that the mean size of a random sample of
100 households is more than 3? That is to say in a sample of n=100, what is the probability that
?X > 3?
100 households is more than 3? That is to say in a sample of n=100, what is the probability that
?X > 3?
Round to the nearest 3rd decimal place, x.xxx.