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Question 1 llowsky Page 505 Ex 77 An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2 and then perform a hypothesis at a 1% significance level using the Critical Value procedure. What is the null and alternate hypothesis for this hypothesis test? a Ho: μ = 4.5, Ha: μ > 5.1 b Ho: μ = 4.5, Ha: μ < 5.1 c Ho: μ = 4.5, Ha: μ > 4.5 d Ho: μ = 4.5, Ha: μ < 4.5 ________ What is the numerical value of α for this test? Enter answer as a 2 place decimal with a 0 to the left of the decimal point. Do not enter answer as a percent. ________ What is the appropriate distribution for performing this test? a z distribution b t distribution c Either distribution d Neither. This question does not depend on knowing the appropriate distribution. Select and enter the appropriate letter ________ What is the critical value for the test statistic? Enter answer as a 3 place decimal rounded to 3 decimal places. ________ What is the numerical value of the test statistic?
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Enter answer as a decimal rounded to 1 decimal place. ________ Based upon the Hypothesis test what is your decision? a There is insufcient evidence, based upon the data, to accept the alternate hypothesis. b There is sufcient evidence, based upon the data, to accept the alternate hypothesis. c It is not possible to make a decision (null or alternate), based upon the data. d A strong case could be made For either decision (null or alternate) based upon the data. ________ Question 2 llowsky Page 505 Ex 77 An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2 and then perform a hypothesis at a 1% significance level using the Pvalue procedure.l. What is the null and alternate hypothesis for this hypothesis test? a Ho: μ = 4.5, Ha: μ > 5.1 b Ho: μ = 4.5, Ha: μ < 5.1 c Ho: μ = 4.5, Ha: μ > 4.5 d Ho: μ = 4.5, Ha: μ < 4.5 ________ What is the numerical value of α for this test? Enter answer as a 2 place decimal with a 0 to the left of the decimal point. Do not enter answer as a percent. ________ What is the appropriate distribution for performing this test? a z distribution b t distribution
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Introductory Statistics
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OpenStax College Rice University 6100 Main Street MS-380 Houston, Texas 77005 To learn more about OpenStax College, visit http://openstaxcollege.org . Individual print copies and bulk orders can be purchased through our website. © 2013 Rice University. Textbook content produced by OpenStax College is licensed under a Creative Commons Attribution 3.0 Unported License. Under this license, any user of this textbook or the textbook contents herein must provide proper attribution as follows: - If you redistribute this textbook in a digital format (including but not limited to EPUB, PDF, and HTML), then you must retain on every page the following attribution: “Download for free at http://cnx.org/content/col11562/latest/ .” - If you redistribute this textbook in a print format, then you must include on every physical page the following attribution: “Download for free at http://cnx.org/content/col11562/latest/ .” - If you redistribute part of this textbook, then you must retain in every digital format page view (including but not limited to EPUB, PDF, and HTML) and on every physical printed page the following attribution: “Download for free at http://cnx.org/content/col11562/latest/ .” - If you use this textbook as a bibliographic reference, then you should cite it as follows: OpenStax College, Introductory Statistics . OpenStax College. 19 September 2013. < http://cnx.org/content/col11562/latest/ >. For questions regarding this licensing, please contact [email protected] . Trademarks The OpenStax College name, OpenStax College logo, OpenStax College book covers, OpenStax CNX name, and OpenStax CNX logo are registered trademarks of Rice University. All rights reserved. Any of the trademarks, service marks, collective marks, design rights, or similar rights that are mentioned, used, or cited in OpenStax College, OpenStax CNX, or OpenStax CNX’s sites are the property of their respective owners. ISBN-10 1938168208 ISBN-13 978-1-938168-20-8 Revision ST-1-000-RS
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Introduction to Statistics Online Edition Primary author and editor: David M. Lane 1 Other authors: David Scott 1 , Mikki Hebl 1 , Rudy Guerra 1 , Dan Osherson 1 , and Heidi Ziemer 2 1 Rice University; 2 University of Houston, Downtown Campus Section authors speciFed on each section. ........................................................................................ 1. Introduction 10 .............................................................................................. What Are Statistics 11 ...................................................................................... Importance of Statistics 13 ........................................................................................... Descriptive Statistics 15 ............................................................................................. Inferential Statistics 20 .............................................................................................................. Variables 26 ........................................................................................................... Percentiles 29 ....................................................................................... Levels of Measurement 34 ........................................................................................................ Distributions 40 .......................................................................................... Summation Notation 52 ...................................................................................... Linear Transformations 55 .......................................................................................................... Logarithms 58
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............................................................................................... Statistical Literacy 61 .............................................................................................................. Exercises 62 ....................................................................... 2. Graphing Distributions 65 .......................................................................... Graphing Qualitative Variables 67 ........................................................................ Graphing Quantitative Variables 76 ...................................................................................... Stem and Leaf Displays 77 .......................................................................................................... Histograms 83 ............................................................................................ Frequency Polygons 87 ............................................................................................................. Box Plots 93 ......................................................................................................... Bar Charts 102 ...................................................................................................... Line Graphs 106 ........................................................................................................... Dot Plots 110 ............................................................................................. Statistical Literacy 114 ......................................................................................................... References 116 ............................................................................................................ Exercises 117 ............................................................... 3. Summarizing Distributions 124 .............................................................................. What is Central Tendency? 125 ......................................................................... Measures of Central Tendency 132 ............................................................................................ Median and Mean 135 ....................................................... Additional Measures of Central Tendency 137 ..................................................... Comparing Measures of Central Tendency 141 ..................................................................................... Measures of Variability 145 ..................................................................................... Shapes of Distributions 153 2
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