I. A potato chip company wants to evaluate the accuracy of its potato chip bag-filling machine. Bags are labeled as containing 8 ounces of potato chips.A simple random sample of 12 bags had a mean weight of 8.12 ounces with a sample standard deviation of 0.I ounce.Assume the weights are approximately normally distributed. Construct a 99% confidence interval for the population mean weight of bags of potato chips.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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3. Six measurements were made of the mineral content (in percent) of spinach, with the following results. Assume
that the population is normally distributed.
19.1 20.8 20.8 21.4 20.5 19.7
a) Find the sample standard deviation.
b) Construct a 99% confidence interval for the population standard deviation o.
c)
Based on the confidence interval, is it reasonable to believe that the population standard deviation might be less than 1.5?
Explain
Transcribed Image Text:3. Six measurements were made of the mineral content (in percent) of spinach, with the following results. Assume that the population is normally distributed. 19.1 20.8 20.8 21.4 20.5 19.7 a) Find the sample standard deviation. b) Construct a 99% confidence interval for the population standard deviation o. c) Based on the confidence interval, is it reasonable to believe that the population standard deviation might be less than 1.5? Explain
1. A potato chip company wants to evaluate the accuracy of its potato chip bag-filling machine. Bags are labeled as
containing 8 ounces of potato chips.A simple random sample of 12 bags had a mean weight of 8.12 ounces with a
sample standard deviation of 0.1 ounce.Assume the weights are approximately normally distributed. Construct a
99% confidence interval for the population mean weight of bags of potato chips.
2. A simple random sample of 200 third graders in a large school district was chosen to participate in an after-
school program to improve reading skills. After completing the program, the children were tested, and 142 of
them showed improvement in their reading skills
a)
Construct a 95% confidence interval for the proportion of third graders in the school district whose reading scores would
improve after completing the program
b) Is it reasonable to conclude that more than 60% of the students would improve their reading scores after completing the
program? Explain
Transcribed Image Text:1. A potato chip company wants to evaluate the accuracy of its potato chip bag-filling machine. Bags are labeled as containing 8 ounces of potato chips.A simple random sample of 12 bags had a mean weight of 8.12 ounces with a sample standard deviation of 0.1 ounce.Assume the weights are approximately normally distributed. Construct a 99% confidence interval for the population mean weight of bags of potato chips. 2. A simple random sample of 200 third graders in a large school district was chosen to participate in an after- school program to improve reading skills. After completing the program, the children were tested, and 142 of them showed improvement in their reading skills a) Construct a 95% confidence interval for the proportion of third graders in the school district whose reading scores would improve after completing the program b) Is it reasonable to conclude that more than 60% of the students would improve their reading scores after completing the program? Explain
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