chapter 11 problems - PowerPoint Problems Chapter 11...

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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 1 PowerPoint Problems PowerPoint Problems Chapter 11 End-of-Chapter Problem 4
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 2 Problem Statement The data (see Prob. 11-4 in C11Data.xls in the dataset) represent the weight of castings (in kilograms) being made in the Harrison Metalwork foundry. Based on this sample of 100 castings, compute the mean, standard deviation and other relevant statistics, as well as a frequency distribution and histogram. What do you conclude from your analysis?
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 3 The Data 38.1 38.5 38.3 37.3 38.4 39.2 38.9 38.7 39.0 38.6 38.1 38.5 38.4 37.6 38.4 39.2 38.9 38.7 39.0 38.6 38.2 38.5 38.4 37.7 38.4 39.3 38.9 38.7 39.1 38.7 38.2 38.5 38.4 37.8 38.4 39.3 38.9 38.7 39.1 38.7 38.3 38.6 38.4 37.9 38.4 39.3 38.9 38.7 39.1 38.7 38.3 38.6 38.4 37.9 38.4 39.4 39.0 38.7 39.1 38.7 38.3 38.6 38.4 37.9 38.4 39.4 39.0 38.7 39.1 38.7 38.3 38.6 38.4 38.1 38.4 39.5 39.0 38.8 39.1 38.7 38.3 38.6 38.4 38.1 38.5 39.6 39.0 38.8 39.2 38.7 38.3 38.6 38.4 38.1 38.5 39.9 39.0 38.8 39.2 38.7 Harrison Metalwork Foundry
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 4 Analysis Mean 38.632 Standard Error 0.0444 Median 38.6 Mode 38.4 Standard Deviation 0.4436 Sample Variance 0.1967 Range 2.6 Minimum 37.3 Maximum 39.9 Sum 3863.2 Count 100 Descriptive Statistics
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 5 Analysis Frequency Distribution 0 5 10 15 20 25 30 35 37.5 37.8 38.1 38.4 38.7 39.0 39.3 39.6 39.9 Cell Boundaries Frequency Frequencies
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 6 Conclusions The summary statistics and the histogram show that these data are approximately normally distributed, with some slight skewing to the right.
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 7 Recommendations ± Use these statistics for process monitoring and improvement.
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 8 PowerPoint Problems PowerPoint Problems Chapter 11 End-of-Chapter Problem 6
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 9 Problem Statement Georgia Tea is sold in 2 liter (2000 milliliter) bottles. The volume of tea in the bottle when over-filled is defined as more than 1990 milliliters and the standard deviation is 15 milliliters. If the process requires that there be only a 1% probability of over-filling, what should the target mean fill volume be?
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 10 The Data As given in the problem.
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 11 Analysis The values for the fill volume and standard deviation are: x = 1990 ml; σ = 15 ml For a probability of 1%, for overfilling: P(x > upper fill limit) = 0.5000 - P ( ) = 0.5000 - .4900 = 0.01 Use the Normal Table, Appendix A; z = 2.33 σ µ x
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MANAGING FOR QUALITY AND PERFORMANCE EXCELLENCE, 7e, © 2008 Thomson Higher Education Publishing 12 Analysis x - μ 1990 - μ z = --------- = --------------- = 2.33 σ 15 so μ = 1955.05 ml
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This note was uploaded on 08/22/2010 for the course CDA 5106 taught by Professor Staff during the Spring '08 term at University of Central Florida.

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chapter 11 problems - PowerPoint Problems Chapter 11...

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