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A statistician wants to estimate the mean weekly family expenditure on clothes. He believes that the standard deviation of the weekly expenditure is $125. Determine with 99% confidence the number of families that must be sampled to estimate the mean weekly family expenditure on clothes to within $15.

2 answers

99% = mean ± 2.575 SEm

SEm = SD/√n

2.575 SEm = 2.575 SD/√n = 15

Solve for n.
463
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