OpenIntro Statistics Third Edition David M Diez Quantitative Analyst XXXXXXXXXX Christopher D Barr Graduate Student Yale School of Management XXXXXXXXXX Mine Çetinkaya-Rundel Assistant Professor of...

I just need the step by step for #6.48 (C & D)I need the step by step for #6.50 (A & B)


OpenIntro Statistics Third Edition David M Diez Quantitative Analyst [email protected] Christopher D Barr Graduate Student Yale School of Management [email protected] Mine Çetinkaya-Rundel Assistant Professor of the Practice Department of Statistics Duke University [email protected] Copyright © 2015. Third Edition. Updated: December 9th, 2017. This textbook is available under a Creative Commons license. Visit openintro.org for a free PDF, to download the textbook’s source files, or for more information about the license. http://www.openintro.org/redirect.php?go=textbook-openintro_textbook&referrer=os3_pdf Contents 1 Introduction to data 7 1.1 Case study: using stents to prevent strokes . . . . . . . . . . . . . . . . . . 7 1.2 Data basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Overview of data collection principles . . . . . . . . . . . . . . . . . . . . . 15 1.4 Observational studies and sampling strategies . . . . . . . . . . . . . . . . . 19 1.5 Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 1.6 Examining numerical data . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 1.7 Considering categorical data . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 1.8 Case study: gender discrimination (special topic) . . . . . . . . . . . . . . . 50 1.9 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 2 Probability (special topic) 76 2.1 Defining probability (special topic) . . . . . . . . . . . . . . . . . . . . . . . 76 2.2 Conditional probability (special topic) . . . . . . . . . . . . . . . . . . . . . 88 2.3 Sampling from a small population (special topic) . . . . . . . . . . . . . . . 102 2.4 Random variables (special topic) . . . . . . . . . . . . . . . . . . . . . . . . 104 2.5 Continuous distributions (special topic) . . . . . . . . . . . . . . . . . . . . 113 2.6 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 3 Distributions of random variables 127 3.1 Normal distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 3.2 Evaluating the normal approximation . . . . . . . . . . . . . . . . . . . . . 137 3.3 Geometric distribution (special topic) . . . . . . . . . . . . . . . . . . . . . 141 3.4 Binomial distribution (special topic) . . . . . . . . . . . . . . . . . . . . . . 145 3.5 More discrete distributions (special topic) . . . . . . . . . . . . . . . . . . . 152 3.6 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158 4 Foundations for inference 168 4.1 Variability in estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 4.2 Confidence intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174 4.3 Hypothesis testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180 4.4 Examining the Central Limit Theorem . . . . . . . . . . . . . . . . . . . . . 194 4.5 Inference for other estimators . . . . . . . . . . . . . . . . . . . . . . . . . . 197 4.6 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 3 4 CONTENTS 5 Inference for numerical data 219 5.1 One-sample means with the t-distribution . . . . . . . . . . . . . . . . . . . 219 5.2 Paired data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 5.3 Difference of two means . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 230 5.4 Power calculations for a difference of means (special topic) . . . . . . . . . . 239 5.5 Comparing many means with ANOVA (special topic) . . . . . . . . . . . . . 246 5.6 Exercises . . . . . . . . . . . . . . . . . . . . .