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z score based percentage and sample size calculation

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1.) In a filling line at A & C Foods, Ltd., the mean fill volume for rice bubbles is 325 grams and the standard deviation is 20 grams. What percentage of containers will have less than 295 grams? More than 345grams (assuming no overflow)?

2.) Determine the appropriate sample size needed to estimate the proportion of sorting errors at the Puxatawney Post Office at 99 percent confidence level. Historically, the sorting error rate is 0.015, and you wish to have an allowable statistical error of 0.02.

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The solution provides detailed explanation how to find out the z based percentage and sample size based on the margin of error.

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