An auditor is interested in estimating the population mean value for Aloha Company’s accounts receivable. The population has been divided into three strata. The accompanying table gives information on the strata and the estimated standard deviations.

σ_x̅ = 12.75. Assume you would like a 95% confidence interval to extend $25 on each side of the estimate.

(a) Determine the total sample size for a proportional allocation.

(b) Determine the sample size for an optimal allocation.

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Stratum A B Population size 600 1,005 700 Estimated standard deviation $175] 220 195