The manager of a paint supply store wants to estimate the actual amount of paint

Question

The manager of a paint supply store wants to estimate the actual amount of paint contained in 1-gallon cans purchased from a nationally known manufacturer. The manufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.02 gallon. A random sample of 50 cans is selected, and the sample mean amount of paint per 1-gallon can is 0.997 gallon. Complete parts (a) through (d). a. Construct a 99% confidence interval estimate for the population mean amount of paint included in a 1-gallon can. (Round to five decimal places as needed.)

Explanation / Answer

Solution:- Given mean = 0.997 , Standard deviation = 0.02 , n = 50

Z = 2.576

=> 99% confidence interval estimate for the population mean : X +/- Z* s/sqrt(50)

: 0.997 +/- 2.576*0.02/sqrt(50)

: 0.98971 , 1.00429

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