A particular subdivision has 20 homes The number of people l

A particular subdivision has 20 homes. The number of people living in each of these homes is listed as follows: 2 4 7 3 4 2 4 5 2 3 5 4 6 3 4 2 2 1 4 3. If a random sample of n = 3 homes were selected, what would be the highest possible positive sampling error?

Solution

Standard Error= sd/ Sqrt(n)
Where,
sd = Standard Deviation
n = Sample Size
Sample is {1,7,2}
Standard deviation( sd )=3.21
Sample Size(n)=20
Standard Error = ( 3.21/ Sqrt ( 20) )
= 0.718