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OPANEL NW 6.14 Wear-out of used display panels. Refer to Exeraise 4.126 (p.241) and the study of the wear-out tailure time of used colored display panels purchased by an outlet store Recall that prior to acquisition he panels had been used for about one-third of their expected lifetimes The failure times (in years) for a sample of 50 used panels are reproduced in the table An sPsS printout of the analysis is shown below used panels are reproduced in the table An spss brintout of the an 1.24/177 241 19 57 148 1.792 44 325 0.70 1.54 1 1.8812.57 331 073 159 1.90 261 11.19 075 1.61 1.93 2623 50 0 75 161 201272350 111 1622 16276 Variables and Distributions g Distributions ces Based on a Single Estimation with ce Intervals 61 201 272350 1.11 162 2.16 27 50116102218234|3 50 Source Based on Irony. T.Lauretto, M Pereira, C & Stem. J. M. A Weibull wearout Test Full Bayesian approach, paper presented at Mathematical Sciences Col December 2001 Binghamton University, Binghamton/ UK nces Based on a Single Tests of Hypotheses ences Based on Two es Confidence Intervals ests ot Hypotheses Descriptves FAILTIME Mean 1.9350 1.6711 1989 1.9454 1 8350 862 92865 01 3.60 3.49 1.43 -008 13133 sign of Experiments and ysis ot Variance 95% Confidence Interval for Mean Lower Bound UnperBound Upper Bound 5%Trimmed Mean ategorical Data Analysis Median Variance aad, Deviation Minimum Simple Linear Regression Mutiple Regression and Model iding Methods for Quality mprovenent Statistical Process ontrol Range Interquartile Range Skewness 337 14 Time Seres Descriptive Analyses, Models, and SPSS output for Exerdse 6.14 a. Locale a 95% confidence interval for the true mean failure tirne of used colored display panels on the printout b. Give a practical interpretation of the interval, part a. 15 Nonparanetric Statistics ppendix A:Suimation c. In repeated sampling ofthe population or used colored dsplay panels, where a 95% cont dence interval for the mean falure time is computed tor each sample, what proportion of all the considence intervals generated will capture the true mean failure time? Appendix B: Basic Counting ules Appendix B: Basic Counting Rules
Explanation / Answer
a. a 95% confidence Interval is given here as , [ 1.6711 , 2.1989 ].
b. the practical interpretation is that this interval contains the true value of the mean with 95% confidence.
C. In repeated sampling this interval would come up 0.95 propportion of time of all the intervals containing the true value of the mean
