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Name: You work for a soft-drink company in the quality control division. Yo
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Description: 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 lik

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 16 containers. Estimate the population standard deviation at a 90% level of confidence.

11.98	12.11	11.88	11.99	11.89	12.02
11.84	12.05	12.13	11.94	12.31	12
12.07	12.02	12.04	12.04

(Data checksum: 192.31)

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 90% confidence:
Lower:

Upper:

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

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