Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It

Question

Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of

12.39

ounces and a standard deviation of 0.04 ounce. The company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of the fill amounts poured by this machine. For what fill amount are they searching? Round to the nearest thousandth

Explanation / Answer

for highest 1.5%value, at 98.5% z=2.1701

hence corresponding value =mean +z*Std deviation =12.477 ounce

please revert

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