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# The accompanying sample consisting of n 5 20

ISBN: 9781305251809 122

## Solution for problem 89 Chapter 4.6

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 89

The accompanying sample consisting of n 5 20 observationson dielectric breakdown voltage of a piece of epoxyresin appeared in the article Maximum LikelihoodEstimation in the 3Parameter Weibull Distribution(IEEE Trans. on Dielectrics and Elec. Insul., 1996:4355). The values of (i 2 .5)yn for which z percentilesare needed are (1 2 .5)y20 5 .025, (2 2 .5)y20 5.075,, and .975. Would you feel comfortable estimatingpopulation mean voltage using a method that assumeda normal population distribution?Observation 24.46 25.61 26.25 26.42 26.66z percentile 21.96 21.44 21.15 2.93 2.76Observation 27.15 27.31 27.54 27.74 27.94z percentile 2.60 2.45 2.32 2.19 2.06Observation 27.98 28.04 28.28 28.49 28.50z percentile .06 .19 .32 .45 .60Observation 28.87 29.11 29.13 29.50 30.88z percentile .76 .93 1.15 1.44 1.96

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STAT 2004 WEEK 9 BERNOULLI DISTRIBUTION  In a Bernoulli distribution, an outcome has two possibilities: success or failure. o Success- What we were interested in happened. o Success is represented by a 1, while failure is represented by a 0.  Probability of success is represented by a p.  For a Bernoulli random...

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