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 0.987 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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On the basis of the results to part A in the picture, does the manager have a right to complain to the manufacturer?  does a 1 gallon paint can containing exactly 1 gallon of paint lie within the 95% confidence interval? 
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 0.987 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.)
Transcribed Image Text: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 0.987 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.)
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