A survey organization takes a simple random sample of 100 households from a medi

Question

A survey organization takes a simple random sample of 100 households from a medium-sized coastal city. They calculate a 95% confidence interval for the average household size to be 1.56 to 2.22 persons. Choose the statement below that is TRUE.

A 95% confidence interval is inappropriate in this situation because household size is not normally distributed.

If the organization had sampled 200 households instead, we would expect the 95% confidence interval to be wider than 1.56 to 2.22.

95% of the households in the city contain between 1.56 to 2.22 persons.

The 95% confidence interval is about right because, with 100 draws from the box, the probability histogram for the average of the draws follows the normal curve.

Explanation / Answer

n = 100 , 95 % CI is (1.56,2.22)

D) is correct

The 95% confidence interval is about right because, with 100 draws from the box, the probability histogram for the average of the draws follows the normal curve.

due to central limit theorem , n> 30

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