a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 80% confidence: Lower: Upper: c) Report your confidence interval for σσ:
a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 80% confidence: Lower: Upper: c) Report your confidence interval for σσ:
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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You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 15 containers. Estimate the population standard deviation at a 80% level of confidence.
11.86 | 12.12 | 12.2 | 12.08 | 12.06 |
12.09 | 11.92 | 12.26 | 12.04 | 12.1 |
11.85 | 11.97 | 11.85 | 12 | 12.01 |
(Data checksum: 180.41)
Keep as many decimals as possible while making these calculations.
a) Find the sample standard deviation:
b) Find the lower and upper χ2χ2 critical values at 80% confidence:
Lower: Upper:
c) Report your confidence interval for σσ:
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