There are 2000 households in Happy Valley, distributed across 20 districts. Five districts were samp

There are 2000 households in Happy Valley, distributed across 20 districts. Five districts were sampled with replacement, with each random draw weighting a district in proportion to the number of households it contains. By luck, no district was selected more than once. Within each selected district, a simple random sample of 10% of the district's households was taken. Let HH be the number of households in a district, and let CC be the total number of cars owned by residents of those households sampled in the district. The five observed values of (H,C)(H,C) are (110, 7), (100, 7), (120, 4), (90, 8) and (70, 7). (a) Give an estimate of the total number of cars owned by Happy Valley residents. Report your answer to the nearest integer. (b) Give a standard error to accompany your estimate. Report your answer to the nearest integer.

 

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