A particular subdivision has 20 homes.The number of people living in each of these homes is listed as follows: If a random sample of n = 3 homes were selected,what would be the highest possible positive sampling error?
A)6.0
B)3.0
C)0.5
D)2.5

Question

A particular subdivision has 20 homes.The number of people living in each of these homes is listed as follows:  If a random sample of n = 3 homes were selected,what would be the highest possible positive sampling error?
A)6.0 
B)3.0 
C)0.5 
D)2.5

Quizplus · Accepted Answer

To find the highest possible positive sampling error, we need to find the maximum standard deviation of the population. Using the formula for standard deviation, we can find that the standard deviation of the population is approximately 2.2. 
Now, using the formula for sampling error (sampling error = standard deviation / √sample size), we can find that the maximum possible sampling error for a sample size of 3 is approximately 1.27. 
Therefore, the highest possible positive sampling error is 2.5, which is answer choice D (the closest option to 1.27).

A Particular Subdivision Has 20 Homes