The weights of full boxes of a certain kind of cereal are normally distributed with a standard deviation of 0.27 oz. A sample of 15 randomly selected boxes from the machine pictured, produced a mean weight of 9.YZ oz. a. Find the 90% confidence interval for the true mean weight of a box of this cereal, with the above given sample size. b. Find the 90% confidence interval for the true mean weight of a box of this cereal, with samples of 35 random boxes c. What effect did an increase in the sample size have on the width of the confidence interval? Don't forget to apply the central limit theorem.
The weights of full boxes of a certain kind of cereal are normally distributed with a standard deviation of 0.27 oz. A sample of 15 randomly selected boxes from the machine pictured, produced a mean weight of 9.YZ oz. a. Find the 90% confidence interval for the true mean weight of a box of this cereal, with the above given sample size. b. Find the 90% confidence interval for the true mean weight of a box of this cereal, with samples of 35 random boxes c. What effect did an increase in the sample size have on the width of the confidence interval? Don't forget to apply the central limit theorem.
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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Transcribed Image Text:The weights of full boxes of a certain kind of cereal are
normally distributed with a standard deviation of 0.27 oz. A
sample of 15 randomly selected boxes from the machine
pictured, produced a mean weight of 9.YZ oz.
a. Find the 90% confidence interval for the true mean weight
of a box of this cereal, with the above given sample size.
b. Find the 90% confidence interval for the true mean weight
of a box of this cereal, with samples of 35 random boxes
c. What effect did an increase in the sample size have on the
width of the confidence interval?
Don't forget to apply the central limit theorem.
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