By Bhisham C. Gupta
This e-book is a table reference for 6 Sigma eco-friendly belts or rookies who're now not acquainted with information. As Six Sigma crew participants, eco-friendly belts can help pick out, gather information for, and support with the translation of numerous statistical or quantitative instruments in the context of the Six Sigma technique. This e-book will function a very good tutorial device constructing a robust figuring out of easy facts together with easy methods to describe facts either graphically and numerically. It’s particular concentration is on strategies, functions, and interpretations of the statistical instruments used in the course of, and as a part of, the layout, degree, research, enhance, and keep watch over (DMAIC) technique. not like such a lot books for 6 Sigma novices, this publication isn't just a proof of Six Sigma, it deals real instruments and theories to aid practitioners larger comprehend and practice their jobs in amassing and examining facts. Readers utilizing this publication will discover ways to comprehend some great benefits of facts as an goal degree, in addition to the method of utilizing chosen instruments for studying info and the way to make judgements in response to quantitative inputs.
checklist of Figures
checklist of Tables
desk of Contents
1. atmosphere the Context for 6 Sigma
2. Getting began with records
three. Describing facts Graphically
four. Describing facts Numerically
6. Discrete Random Variables and Their chance Distributions
7. non-stop Random Variables and Their chance Distributions
eight. Sampling Distributions
nine. element and period Estimation
10. speculation checking out
eleven. computing device assets to help utilized statistics: utilizing MINITAB® and JMP® Statistical software program
in regards to the Authors
Contents of CD-ROM
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Extra info for Applied Statistics for the Six Sigma Green Belt
10 The following data give the length (in millimeters) of material chips removed during a machining operation: 4, 2, 5, 1, 3, 6, 2, 4, 3, 5 Calculate the variance and the standard deviation for the data. Solution: There are three simple steps involved in calculating the variance of any data set. Step 1. Calculate ⌺xi, the sum of all the data values. Thus we have ⌺xi ϭ 4 ϩ 2 ϩ 5 ϩ 1 ϩ 3 ϩ 6 ϩ 2 ϩ 4 ϩ 3 ϩ 5 ϭ 35 2 Step 2. Calculate ∑ X i , the sum of squares of all the observations, that is, ∑ X i2 ϭ 42 ϩ 22 ϩ 52 ϩ 12 ϩ 32 ϩ 62 ϩ 22 ϩ 42 ϩ 32 ϩ 52 ϭ 145 Step 3.
3 Bar graph for annual revenues of a company over the period of five years. 7. 00 Total To construct the bar chart we label the intervals of equal length on the xaxis with the types of defects and then indicate the frequency of observations associated with the defect within that interval. The observations are taken to be equal to the frequency of the corresponding categories. 4, which shows that the defects of type A occur most frequently, type B occur second most frequently, type C occur third most frequently, and so on.
The upward trend indicates a positive association between the two variables, whereas the narrow width of the band indicates the strength of the association is very strong. As the association between the two variables gets stronger, the band enclosing the plotted points becomes narrower and narrower. The downward trend indicates a negative association between the two variables. A numerical measure of association between two numerical variables is called the Pearson correlation coefficient, named after the English statistician Karl Pearson (1857–1936).
Applied Statistics for the Six Sigma Green Belt by Bhisham C. Gupta