The manager of a paint supply store wants to estimate the actual amount of paint
ID: 2932671 • 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 0.986 gallon. Complete parts (a) through (d) a. Construct a 95% 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
At 95% cinfidence interval the critical value = 1.96
Confidence interval = mean +/- 1.96 * SD/sqrt (n)
= 0.986 +/- 1.96 * 0.02/sqrt(50)
= 0.986 +/- 0.00554
= 0.98046, 0.99154
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