A bottled water distributor wants to estimate the amount of water contained in 1

Question

A bottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.03 gallon. A random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.962 gallon. Complete parts (a) through (d). a. Construct a 99% confidence interval estimate for the population mean amount of water included in a 1-gallon bottle.

Explanation / Answer

mean is 0.962

standard deviation is 0.03 and therefore for 50 bottles, standard error is 0.03/sqrt(50)=0.004243

Also, for 99% confidence, Z value is 2.575

Thus, answer is lower limit =0.962-2.575*0.004243 =0.951074

and upper limit is =0.962+2.575*0.004243 =0.972926

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