The manager of a paint supply store wants to estimate the actual amount of paint
ID: 3063864 • Letter: T
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) d. Construct a 95% confidence interval estimate. How does this change your answer to part (b)? SHS (Round to five decimal places as needed.)Explanation / Answer
Solution:- Given mean = 0.997 , Standard deviation = 0.02 , n = 50
Z = 1.96
=> 99% confidence interval estimate for the population mean : X +/- Z* s/sqrt(n)
: 0.997 +/- 1.96*0.02/sqrt(50)
: 0.99146 , 1.00254
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