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 0.7 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 128.75 ounces. With a sample size of 6, 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.
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 0.7 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 128.75 ounces. With a sample size of 6, 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A paint manufacturer uses a machine to fill gallon cans with paint (1
mean volume of paint the machine is putting in the cans within
normally distributed.
gal=128
ounces). The manufacturer wants to estimate the 0.7
ounce. Assume the population of volumes is (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
128.75
ounces. With a sample size of
6,
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.Expert Solution
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