The real estate office interviewed all persons age 16 and over inthe sample hous

Question

The real estate office interviewed all persons age 16 and over inthe sample households; there were 2,500 such persons. On theaverage, these 2,500 people commuted 7.1 miles to work, and the SDof the distances was 10.2 miles. (Again, if someone isn't working,the commute distance is defined to be 0; and all distances areone-way.) If possible, find a 95%-confidence interval for theaverage commute distance for all people age 16 and over in thistown. If this isn't possible, explain why not.
Any help would be truly appreciated!
Any help would be truly appreciated!

Explanation / Answer

I believe it is not possible to calculate the CI because the 2,500 people interviewed came from the SAMPLE SIZE of 1,000 households, not from the population of 50,000 households. Therefore, this is not an SRS and the CI cannot be used to estimate the population average (for 16 year olds and over).

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