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A 2002 survey by the American Pet Product Manufacturers Association estimated th

ID: 3182285 • Letter: A

Question

A 2002 survey by the American Pet Product Manufacturers Association estimated that the average number of ferrets in ferret-owning households nationwide was 1.9. a. What was apparently the sample mean number of ferrets found by the survey? b. What additional information would be needed in order to set up a confidence interval for the average number of ferrets in all ferret-owning households? c. If the probability of a household owning any ferrets at all is 0.005, what do we estimate to be the average number of ferrets for all households nationwide?

Explanation / Answer

a) The sample mean number of ferrets found by the survey is 1.9

b) additional information needed to to calculate the confidence interval for the average number of ferrerts would be the -standard deviation and -the sample size

c) P(ferrets>1) = 0.005

That means out of a 1000 households only 5 would have ferrets.

Thus average for households having ferrets is 1.9.

Thus number of ferrets in 1000 households would be 1.9 * 5 = 9.5

Thus average would be 9.5 / 1000 = 0.0095

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