Four different populations and related statistical objectives are:

Required:

a. Compute the sample size for each population.

b. Assuming the standard deviation of the sample values is 20 percent lower than the estimated standard deviation (rounded to the nearest dollar), compute the average achieved precision ( \(\mathrm{A}^{\prime}\) ) for each population.

c. Assuming planned precision equal to 80 percent of materiality, compute the new precision ( \(\mathrm{A}^{\prime \prime}\) ) for each population.

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Estimated Population Population Size Standard Deviation Reliability Planned Precision ABCD 5,000 $15 95% 10,000 $20 99% $10,000 +$50,000 8,000 $12 90% $24,000 7,500 $32 95% $30,000