A manufacturer wants to measure the average volume that a bottle filling machine

Question

A manufacturer wants to measure the average volume that a bottle filling machine fills bottles within ±15 milliliters with 99% confidence. If the standard deviation of the machine is known to be 75 milliliters, what sample size does the manufacturer need to use? A party planning company wants to estimate the proportion of engaged men who have a bachelor party, what sample size should be used if they want to have a 90% confidence level with a margin of error of 3% if they,do not have any prior estimates? they found a prior study that estimated that the proportion was 0.63?

Explanation / Answer

z for 99% confidence is 2.576

standard deviation s is 75

margin of error ME is 15

ME=z*s/sqrt(N)

thus N is (2.576*75/15)^2=165.8944 or 166

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