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 90% level of confidence. 11.8311.9811.8711.8112.0911.881211.9512.1112.2112.1612.0111.9811.8111.95 (Data checksum: 179.64)Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer.a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 90% confidence:Lower: Upper: c) Report your confidence interval for σσ: ( , )

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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 90% level of confidence.

11.83	11.98	11.87	11.81	12.09
11.88	12	11.95	12.11	12.21
12.16	12.01	11.98	11.81	11.95

(Data checksum: 179.64)

Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer.

a) Find the sample standard deviation:

b) Find the lower and upper χ2χ2 critical values at 90% confidence:
Lower: Upper:

c) Report your confidence interval for σσ: ( , )

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