Question: a. From the past experience, a package-filling machine has been found to have a process that is normally distributed with standard deviation of 0.65 ounces of product weight. A simple random sample is to be selected from the machine’s output for the purpose of determining the average weight of product being packed by the machine. For 99% confidence that the sample mean will not differ from the actual population mean by more than 0.1 ounces, what sample size is required.

b. In reporting the results of their survey of a simple random sample of US registered voters, pollsters claim 95% confidence that their margin of error is no more than 4 percentage points. Given this information only, what sample size was used?

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