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ISBN: 978-0-12-394811-3 Library of Congress Cataloging-in-Publication Data. Ross, Sheldon M. Introduction to probability and statistics for engineersand scientists / Sheldon M. Ross, Departmentof Industrial Engineering and OperationsResearch, University of California, Berkeley.Fifth edition. pagescm. Includes index.
4.1) PDF, Mean, & Variance. With discrete random variables, we often calculated the probability that a trial would result in a particular outcome. For example, we might calculate the probability that a roll of three dice would have a sum of 5. The situation is different for continuous random variables.
1 Understand the role of statistics in real life. 2 Understand the definition of basic Statistical concepts. 3 Distinguish between descriptive and inferential statistics. 4 Obtain types of Variables. 5 Determine the measurement level for each variable. 6 Obtain the basic sample techniques.
Paired Difference Confidence Interval for μ d =μ 1−μ 2 Large Sample, Normal (z) Statistic: x d ±z α/2 s d √n d Small Sample, Student’s t -statistic: x d ±t α/2 s d √n d Where t α/2is based on (n d −1) degrees of freedom Paired Difference Test of Hypothesis for μ d =(μ 1−μ 2) Small Sample, Student’s t -test statistic: t c = (s d /√n d) (x d − D 0)
1 1 12 22 ed proportion is and 1 / ; /ˆˆ p rr p qp nn p rn p r n + = = − + = = Chapter 9 1 2 Difference of means μ-μ (independent samples) 12 12 1 2 12 22 12 /2 12 12 22 12 12 Confidence Interval when and are known ()() ( ) where Hypothesis Test when and are known ( )( ) x x E x x E Ez n n x x z n n α σσ µµ σσ σσ µµ σσ −− ...
This free Statistics cheatsheet has a master list of common definitions, symbols, formulas, and notes, all in one place. Easily learn important topics with practice problems and flashcards, export your terms to pdf, and more.
