For estimating the mean of a population, a systematic random sample is to be selected. If the

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For estimating the mean of a population, a systematic random sample is to be selected. If the number of units in the population is ???? = 10000 and the standard deviation of the population is approximately ???? ≈ 30, determine

(a) the sample size required to have a bound on the error of estimation of ???? = 4.

(b) the sampling interval ????.

(c) the cost of sampling if the initial cost of sampling is ????0 = $500 and the cost of sampling a unit is $1.50.

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