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Applied Statistics for the Six Sigma Green Belt by Bhisham C. Gupta

By Bhisham C. Gupta

This booklet is a table reference for 6 Sigma eco-friendly belts or newcomers who're no longer conversant in facts. As Six Sigma workforce participants, eco-friendly belts can assist pick out, acquire facts for, and support with the translation of a number of statistical or quantitative instruments in the context of the Six Sigma technique. This publication will function an outstanding tutorial software constructing a powerful knowing of easy statistics together with how you can describe information either graphically and numerically. It’s particular concentration is on innovations, purposes, and interpretations of the statistical instruments used in the course of, and as a part of, the layout, degree, study, enhance, and keep watch over (DMAIC) technique. in contrast to such a lot books for 6 Sigma rookies, this booklet is not only an evidence of Six Sigma, it deals real instruments and theories to assist practitioners greater comprehend and practice their jobs in accumulating and reading facts. Readers utilizing this publication will learn how to comprehend the advantages of facts as an goal degree, in addition to the method of utilizing chosen instruments for reading information and the way to make judgements in accordance with quantitative inputs.
entrance topic
• record of Figures
• record of Tables
• creation
• Preface
• desk of Contents
1. surroundings the Context for 6 Sigma
2. Getting begun with statistics
three. Describing facts Graphically
four. Describing info Numerically
five. likelihood
6. Discrete Random Variables and Their likelihood Distributions
7. non-stop Random Variables and Their likelihood Distributions
eight. Sampling Distributions
nine. element and period Estimation
10. speculation trying out
eleven. laptop assets to aid utilized facts: utilizing MINITAB® and JMP® Statistical software program
• thesaurus
• Bibliography
• concerning the Authors
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SPECIAL COMMENTS/CONCERNS A bar chart can be presented vertically or horizontally. It differs from the Pie Chart in the sense that it can be used to compare two or more populations whereas the Pie Chart can be used only to study one population. RELATED TOOLS The Pareto Chart, which is a powerful tool in SQC, is a special case of the Bar Chart. to the frequency. We illustrate the construction of a bar chart in the examples that follow. 6 The following data give the annual revenues (in millions of dollars) of a company over a period of five years (1998–2003).

Describing Data Graphically 35 DESCRIPTION STEM AND LEAF DIAGRAM A graphical tool used to display data using actual data values. Each value is split into two parts, the part with leading digits is called the stem and the rest is called the leaf. USE Used very commonly for exploratory data analysis. TYPE OF DATA Numerical (quantitative) data. DESIGN/APPLICATION CONSIDERATIONS In certain situations normality assumption may not be valid and a data transformation may be necessary. SPECIAL COMMENTS/CONCERNS Unlike the histogram, stem and leaf diagram does not lose the identity of the actual value of the data point.

RELATED TOOLS A similar graph for studying two variables simultaneously is a scatter plot. 4 The following data gives the number of defective motors received in 20 shipments. 8 12 10 16 6 25 21 15 17 5 26 21 29 8 10 21 10 17 15 13 Construct a dot plot for this data. 1). Dot plots usually are more useful when the sample size is small. A dot plot gives us, for example, information about how far the data are scattered and where most of the observations are concentrated. For instance, in the above example, we see that the minimum number of defective motors and the maximum number of defective motors received in any shipment was 5 and 29, respectively.

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