...Case Study: Chest Sizes of Scottish Militiamen. a.) Construct a relative-frequency histogram for the chest circumference data, using classes based on a single value. b.) The population mean and population standard deviation of the chest circumferences are 39.85 and 2.07, respectively. Identify the normal curve that should be used for the chest circumferences. “The associated normal curve is the one whose parameters are the same as the mean and standard deviation of the variable…” (Weiss, pg. 256). Thus the parameters used to find the normal curve for chest circumferences are µ = 39.85 and σ = 2.07. c.) Use the table on page 254 to find the percentage of militiamen in the survey with chest circumference between 36 and 41 inches, inclusive. Note: as the circumference were rounded to the nearest inch, you are actually finding the percentage of militiamen in the survey with chest circumference between 35.5 and 41.5 inches. In order to find the percentage of militiamen with chest circumferences between 36 and 41 inches, we must add the frequency of these variables, and then divide by the total observations. 189+409+753+1062+1082+935=4430 4430/5732 = .7729 77.29% d.) Use the normal curve you identified in part (b) to obtain an approximation to the percentage of militiamen in the survey with chest circumference between 35.5 and 41.5 inches. Compare your answer to...
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...Chapter 6 Case Study: Chest size of Scottish Militiamen p. 295 a. Chest size (in) | Frequency | Relative Frequency | 33 | 3 | 0.000523 | 34 | 19 | 0.003315 | 35 | 81 | 0.014131 | 36 | 189 | 0.032973 | 37 | 409 | 0.071354 | 38 | 753 | 0.131368 | 39 | 1062 | 0.185276 | 40 | 1082 | 0.188765 | 41 | 935 | 0.163119 | 42 | 646 | 0.112701 | 43 | 313 | 0.054606 | 44 | 168 | 0.029309 | 45 | 50 | 0.008723 | 46 | 18 | 0.003140 | 47 | 3 | 0.000523 | 48 | 1 | 0.000174 | | 5732 | 1 | b. (μ=39.85, σ=2.07) The normal curve is the one whose parameters are the same as the mean and standard deviation variable, which are 39.85 and 2.07, respectively. Thus the required normal curve has parameters μ=39.85 and σ=2.07. c. Chest size (in) | Frequency | Relative Frequency | 33 | 3 | 0.000523 | 34 | 19 | 0.003315 | 35 | 81 | 0.014131 | 36 | 189 | 0.032973 | 37 | 409 | 0.071354 | 38 | 753 | 0.131368 | 39 | 1062 | 0.185276 | 40 | 1082 | 0.188765 | 41 | 935 | 0.163119 | 42 | 646 | 0.112701 | 43 | 313 | 0.054606 | 44 | 168 | 0.029309 | 45 | 50 | 0.008723 | 46 | 18 | 0.003140 | 47 | 3 | 0.000523 | 48 | 1 | 0.000174 | | 5732 | 1 | Utilizing the green highlighted section above, the following was calculated: 189+409+753+1062+1082+935 equals 4430. 4430 is divided by 5732 to equal 0.7728. The percentage of militiamen in the survey with chest circumference between 36 and 41 inches is 77.28%. d. z = x- μσ z = 35.5-39...
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...Stat1600 Solution to Midterm #1 Form D 1. The chest sizes, measured in inches, of Scottish militiamen in the early 19th century were recorded (adapted from DASL: Chest sizes of Militiamen). A histogram of chest sizes shows an approximately normal curve. It is known that the mean chest size is 39.4 inches with a standard deviation of 2.2 inches. Given this information, use the Z-Table provided to answer the following questions: (a) (15 points) What percentage of soldiers having chest size under 37.2 inches? Note that the z-score of 37.2 is 37.2 − 39.4 = −1.00 2.2 z= Hence, the chance that a soldier having chest size under 37.2 inches can be computed as the area under the Z curve to the left of −1.00 which equals the area to the right of 1.00 and is calculated as 1−0.8413 =0.1587 (see figures below). That is, 15.87%. = = 1−0.8413 = 0.1587 =1− −1.00 1.00 z z 1.00 z (b) (10 points) What percentage of soldiers having chest size between 35 and 43.8 inches? Note that the z-score for 35 is z= 35 − 39.4 = −2.00 2.2 and that the z-score for 43.8 is z= 43.8 − 39.4 = 2.00. 2.2 Hence the percentage of men soldiers having chest size between 35 and 43.8 inches is the area (in percentage) under the Z curve bounded by −2.00 and 2.00 which is approximately 95% according to the empirical rules. 1 Using Z Table, the probability is 0.9544 or 95.44%: =1− −2.00 2.00 =2x −2.00 z −1 2.00 = 2x0.9772...
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...CALIFORNIA CALIFORNIA An Interpretive History TENTH EDITION James J. Rawls Instructor of History Diablo Valley College Walton Bean Late Professor of History University of California, Berkeley TM TM CALIFORNIA: AN INTERPRETIVE HISTORY, TENTH EDITION Published by McGraw-Hill, a business unit of The McGraw-Hill Companies, Inc., 1221 Avenue of the Americas, New York, NY 10020. Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved. Previous editions © 2008, 2003, and 1998. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent of The McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance learning. Some ancillaries, including electronic and print components, may not be available to customers outside the United States. This book is printed on acid-free paper. 1234567890 QFR/QFR 10987654321 ISBN: 978-0-07-340696-1 MHID: 0-07-340696-1 Vice President & Editor-in-Chief: Michael Ryan Vice President EDP/Central Publishing Services: Kimberly Meriwether David Publisher: Christopher Freitag Sponsoring Editor: Matthew Busbridge Executive Marketing Manager: Pamela S. Cooper Editorial Coordinator: Nikki Weissman Project Manager: Erin Melloy Design Coordinator: Margarite Reynolds Cover Designer: Carole Lawson Cover Image: Albert Bierstadt, American (born...
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...62118 0/nm 1/n1 2/nm 3/nm 4/nm 5/nm 6/nm 7/nm 8/nm 9/nm 1990s 0th/pt 1st/p 1th/tc 2nd/p 2th/tc 3rd/p 3th/tc 4th/pt 5th/pt 6th/pt 7th/pt 8th/pt 9th/pt 0s/pt a A AA AAA Aachen/M aardvark/SM Aaren/M Aarhus/M Aarika/M Aaron/M AB aback abacus/SM abaft Abagael/M Abagail/M abalone/SM abandoner/M abandon/LGDRS abandonment/SM abase/LGDSR abasement/S abaser/M abashed/UY abashment/MS abash/SDLG abate/DSRLG abated/U abatement/MS abater/M abattoir/SM Abba/M Abbe/M abbé/S abbess/SM Abbey/M abbey/MS Abbie/M Abbi/M Abbot/M abbot/MS Abbott/M abbr abbrev abbreviated/UA abbreviates/A abbreviate/XDSNG abbreviating/A abbreviation/M Abbye/M Abby/M ABC/M Abdel/M abdicate/NGDSX abdication/M abdomen/SM abdominal/YS abduct/DGS abduction/SM abductor/SM Abdul/M ab/DY abeam Abelard/M Abel/M Abelson/M Abe/M Aberdeen/M Abernathy/M aberrant/YS aberrational aberration/SM abet/S abetted abetting abettor/SM Abeu/M abeyance/MS abeyant Abey/M abhorred abhorrence/MS abhorrent/Y abhorrer/M abhorring abhor/S abidance/MS abide/JGSR abider/M abiding/Y Abidjan/M Abie/M Abigael/M Abigail/M Abigale/M Abilene/M ability/IMES abjection/MS abjectness/SM abject/SGPDY abjuration/SM abjuratory abjurer/M abjure/ZGSRD ablate/VGNSDX ablation/M ablative/SY ablaze abler/E ables/E ablest able/U abloom ablution/MS Ab/M ABM/S abnegate/NGSDX abnegation/M Abner/M abnormality/SM abnormal/SY aboard ...
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