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Mathematics, 16.04.2020 23:45 zandariouslee

A survey is carried out by the finance department to deter-mine the distribution of household size in a certain city. They draw a simplerandom sample of 1,000 households. Afper several visits, the interviewers findpeople at home in only 653 of the sampfe households. Rather than face such ahigh non-response rate, the department draws a second batch ofhouseholds, and uses the first 347 completed interviews in the second batch to bring thesample up to its planned strength of 1,000 households. The department counts3,087 people in these 1,000 households, and estimates the average householdsize in the city to be about 3.1 persons.

Is this estimate likely to be too low, too high, or about right?

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