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Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 8.3 / Problem 55E

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

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An article in Technometrics (1999, Vol. 41, pp. 202– 211)

Chapter 8, Problem 55E

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QUESTION:

An article in Technometrics (1999, Vol. 41, pp. 202–211) studied the capability of a gauge by measuring the weight of paper. The data for repeated measurements of one sheet of paper are in the following table. Construct a 95% one-sided upper confidence interval for the standard deviation of these measurements. Check the assumption of normality of the data and comment on the assumptions for the confidence interval.

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QUESTION:

An article in Technometrics (1999, Vol. 41, pp. 202–211) studied the capability of a gauge by measuring the weight of paper. The data for repeated measurements of one sheet of paper are in the following table. Construct a 95% one-sided upper confidence interval for the standard deviation of these measurements. Check the assumption of normality of the data and comment on the assumptions for the confidence interval.

ANSWER:

Step 1 of 3

Sample size,

The confidence interval, CI = 95%

The Confidence Interval on the Variance is given as,

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