A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.5 ounce. Assume the population of volumes is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.80 ounce. (b) The sample mean is 127.75 ounces. With a sample size of 9, a 90% level of confidence, and a population standard deviation of 0.80 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. ... (a) The minimum sample size required to construct a 90% confidence interval is (Round up to the nearest whole number.) (b) The 90% confidence interval for a sample size of 9 is (.). It mean could be exactly 128 ounces because 128 ounces falls cans. seem possible that the population the confidence interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to
estimate the mean volume of paint the machine is putting in the cans within 0.5 ounce. Assume the population of
volumes is normally distributed.
(a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean.
Assume the population standard deviation is 0.80 ounce.
(b) The sample mean is 127.75 ounces. With a sample size of 9, a 90% level of confidence, and a population standard
deviation of 0.80 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain.
Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table.
(a) The minimum sample size required to construct a 90% confidence interval is
(Round up to the nearest whole number.)
(b) The 90% confidence interval for a sample size of 9 is (
mean could be exactly 128 ounces because 128 ounces falls
(Round to two decimal places as needed.)
It
cans.
seem possible that the population
the confidence interval.
Z-Score
re sh
Transcribed Image Text:← A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.5 ounce. Assume the population of volumes is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.80 ounce. (b) The sample mean is 127.75 ounces. With a sample size of 9, a 90% level of confidence, and a population standard deviation of 0.80 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 90% confidence interval is (Round up to the nearest whole number.) (b) The 90% confidence interval for a sample size of 9 is ( mean could be exactly 128 ounces because 128 ounces falls (Round to two decimal places as needed.) It cans. seem possible that the population the confidence interval. Z-Score re sh
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