Midterm Exam #1. Introduction to Statistics / MAT300 SPRING 2014 MYERSMAT300041VA (Prof. Myers)


 Stella Cummings
 1 years ago
 Views:
Transcription
1 Midterm Exam #1 Introduction to Statistics / MAT300 SPRING 2014 MYERSMAT300041VA (Prof. Myers) Student Name/ID: 1. Which of the following variables are best thought of as continuous, which discrete? Indicate your choice for each by circling the appropriate answer. (a) In a reaction time study involving between and milliseconds. participants, the number of participants whose average time is Discrete Continuous (b) The lifetime, in hours, of a watt light bulb manufactured by Northington Industries. Discrete Continuous (c) The time that a student in Calculus takes to complete a midterm exam. Discrete Continuous (d) The mass of the solid impurities per milliliter of Los Angeles tap water. Discrete Continuous ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 1/13
2 2. The stemandleaf display below gives the fuel efficiencies (in miles per gallon) for a sample of new cars. Use the display to answer the following questions. Fuel efficiency (miles per gallon) Key: means a fuel efficiency of miles per gallon. (a) What is the lowest fuel efficiency in the sample overall? (b) What is the highest fuel efficiency in the sample in the 20s? (c) How many cars in the sample have fuel efficiencies in the 30s? ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 2/13
3 3. A realtor is displaying the histogram below, which summarizes the percentage of appreciation in value (over the past five years) for each of a sample of houses in Newburg Park. Based on the histogram, find the proportion of appreciation percentages in the sample that are less than percent. Write your answer as a decimal, and do not round your answer. 4. The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students' answers. If there are students at this college, how many chose Action or Drama? ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 3/13
4 5. The following are distances (in miles) traveled to the workplace by employees of a certain university. 7, 2, 37, 32, 27, 22, 16, 11, 6, 1, 36, 31, 10, 10, 10, 5, 5, 40. Draw the histogram for these data using an initial class boundary of, an ending class boundary of, and classes of equal width. Note that you can add or remove classes from the figure. Label each class with its endpoints. 6. Each year, taxpayers are able to contribute money to various charities via their IRS tax forms. The following list contains the amounts of money (in dollars) donated via IRS tax forms by taxpayers: 95, 95, 90, 86, 33, 51, 94, 21, 95. (a) What is the mean of this data set? If your answer is not an integer, round your answer to at least one decimal place. (b) What is the median of this data set? If your answer is not an integer, round your answer to at least one decimal place. (c) How many modes does the data set have, and what are their values? Indicate the number of modes by selecting the appropriate line, and then indicate the value(s) of the mode(s), if applicable. 1. zero modes 2. one mode: 3. two modes: ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 4/13
5 7. The following are distances (in miles) traveled to the workplace by employees of a certain hospital. 25, 18, 14, 31, 11, 9. Find the standard deviation of this sample of distances. Round your answer to at least two decimal places. 8. Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventyfive is mmhg, with a standard deviation of mmhg. Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventyfive. (a) According to Chebyshev's theorem, at least 84% of the measurements lie between mmhg and mmhg. (Round your answer to 1 decimal place.) (b) According to Chebyshev's theorem, at least % of the measurements lie between mmhg and mmhg. a. 56% b. 75% c. 84% d. 89% (c) Suppose that the distribution is bellshaped. According to the empirical rule, approximately % of the measurements lie between mmhg and mmhg. a. 68% b. 75% c. 95% d. 99.7% (d) Suppose that the distribution is bellshaped. According to the empirical rule, approximately 68% of the measurements lie between mmhg and mmhg. ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 5/13
6 9. The following data are the grades of students on a statistics test. 94, 80, 66, 90, 74, 96, 76, 92, 66, 91, 61, 93, 83, 95, 89, 73, 97, 89. Construct a boxandwhisker plot for the data. ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 6/13
7 10. Three distributions, labeled (a), (b), and (c), are represented below by their histograms. Each distribution is symmetrical and is made of measurements. Without performing any calculations, order their respective standard deviations,, and. 11. The scores on a test for a sample of statistics students are summarized in the following table. Number of students Score Find the mean score. Round your answer to at least one decimal place. 12. In how many ways can letters be chosen from, assuming that the order of the choices doesn't matter and that repeats are not allowed? (If necessary, consult a list of formulas.) ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 7/13
8 13. As shown in the Venn diagram below, and are events in the sample space. Indicate the event by shading the appropriate region(s). 14. Suppose that and are independent events such that and. Find and. 15. At a factory that produces pistons for cars, Machine 1 produced satisfactory pistons and unsatisfactory pistons today. Machine 2 produced satisfactory pistons and unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory? Do not round your answer. ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 8/13
9 16. Recently, Hector ran for president of the local school board. Of those who voted in the election, had a high school diploma, and the other did not. Hector got of the vote of those with high school diplomas, while he got only of the vote of those without high school diplomas. Let denote the event that a randomly chosen voter (in the school board election) had a high school diploma and denote the event that a randomly chosen voter did not have a high school diploma. Let denote the event that a randomly chosen voter voted for Hector and randomly chosen voter did not vote for Hector. denote the event that a Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. 17. A catering service offers appetizers, main courses, and desserts. A banquet chairperson is to select appetizers, main courses, and desserts for a banquet. In how many ways can this be done? (If necessary, consult a list of formulas.) 18. An urn contains black and pink balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all balls drawn from the urn are black? Round your answer to three decimal places. ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 9/13
10 19. A sample of adults is selected. The adults are classified according to their voter registration status and their preferred source of current events information. The results are given in the contingency table below. Voting registration status Preferred source of information Television Newspapers Radio Internet sites Registered Not registered What is the relative frequency of adults in the sample who prefer to obtain their information through television? Round your answer to at least two decimal places. 20. A pizza restaurant offers different toppings: of them are vegetarian and of them are nonvegetarian. A customer selects her first topping at random and then selects another one at random from the remaining toppings. What is the probability that both her selections are vegetarian? Report your answer as an exact fraction. ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 10/13
11 Midterm Exam #1 Answers for class Introduction to Statistics / MAT300 SPRING 2014 MYERSMAT300041VA (a) Discrete (b) Continuous (c) Continuous (d) Continuous 2. (a) What is the lowest fuel efficiency in the sample overall? (b) What is the highest fuel efficiency in the sample in the 20s? (c) How many cars in the sample have fuel efficiencies in the 30s? (a) What is the mean of this data set? If your answer is not an integer, round your answer to at least one decimal place. (b) What is the median of this data set? If your answer is not an integer, round your answer to at least one decimal place. (c) How many modes does the data set have, and what are their values? Indicate the number of modes by selecting the appropriate line, and then indicate the value(s) of the mode(s), if applicable. one mode: ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 11/13
12 7. 8. (a) According to Chebyshev's theorem, at least 84% of the measurements lie between and mmhg. mmhg (b) According to Chebyshev's theorem, at least of the measurements lie between mmhg and mmhg. (c) Suppose that the distribution is bellshaped. According to the empirical rule, approximately the measurements lie between mmhg and mmhg. (d) Suppose that the distribution is bellshaped. According to the empirical rule, approximately the measurements lie between mmhg and mmhg. of of ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 12/13
13 ALEKS Midterm Exam #104/27/ :08:12 PM EDT Copyright 2014 UC Regents and ALEKS Corporation. P. 13/13
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) (a) 2 (b) 1
Unit 2 Review Name Use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class. 1) Miles (per day) 12 9 34 22 56
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data. 1) Frank's Furniture employees earned the following
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) (a) 3 (b) 51
Chapter 2 Problems to look at Use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class. 1) Height (in inches) 1)
More informationMATH 103/GRACEY PRACTICE EXAM/CHAPTERS 23. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MATH 3/GRACEY PRACTICE EXAM/CHAPTERS 23 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) The frequency distribution
More informationChapter 3: Data Description Numerical Methods
Chapter 3: Data Description Numerical Methods Learning Objectives Upon successful completion of Chapter 3, you will be able to: Summarize data using measures of central tendency, such as the mean, median,
More informationPractice#1(chapter1,2) Name
Practice#1(chapter1,2) Name Solve the problem. 1) The average age of the students in a statistics class is 22 years. Does this statement describe descriptive or inferential statistics? A) inferential statistics
More informationClassify the data as either discrete or continuous. 2) An athlete runs 100 meters in 10.5 seconds. 2) A) Discrete B) Continuous
Chapter 2 Overview Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classify as categorical or qualitative data. 1) A survey of autos parked in
More information3.2 Measures of Spread
3.2 Measures of Spread In some data sets the observations are close together, while in others they are more spread out. In addition to measures of the center, it's often important to measure the spread
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) (a) 2. (b) 1.5. (c) 0.52.
Stats: Test 1 Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the given frequency distribution to find the (a) class width. (b) class
More informationDescriptive statistics Statistical inference statistical inference, statistical induction and inferential statistics
Descriptive statistics is the discipline of quantitatively describing the main features of a collection of data. Descriptive statistics are distinguished from inferential statistics (or inductive statistics),
More informationStatistics Review Solutions
Statistics Review Solutions 1. Katrina must take five exams in a math class. If her scores on the first four exams are 71, 69, 85, and 83, what score does she need on the fifth exam for her overall mean
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A researcher for an airline interviews all of the passengers on five randomly
More information6. Decide which method of data collection you would use to collect data for the study (observational study, experiment, simulation, or survey):
MATH 1040 REVIEW (EXAM I) Chapter 1 1. For the studies described, identify the population, sample, population parameters, and sample statistics: a) The Gallup Organization conducted a poll of 1003 Americans
More informationInterpreting Data in Normal Distributions
Interpreting Data in Normal Distributions This curve is kind of a big deal. It shows the distribution of a set of test scores, the results of rolling a die a million times, the heights of people on Earth,
More informationExploratory data analysis (Chapter 2) Fall 2011
Exploratory data analysis (Chapter 2) Fall 2011 Data Examples Example 1: Survey Data 1 Data collected from a Stat 371 class in Fall 2005 2 They answered questions about their: gender, major, year in school,
More informationp1^ = 0.18 p2^ = 0.12 A) 0.150 B) 0.387 C) 0.300 D) 0.188 3) n 1 = 570 n 2 = 1992 x 1 = 143 x 2 = 550 A) 0.270 B) 0.541 C) 0.520 D) 0.
Practice for chapter 9 and 10 Disclaimer: the actual exam does not mirror this. This is meant for practicing questions only. The actual exam in not multiple choice. Find the number of successes x suggested
More information6.1. Construct and Interpret Binomial Distributions. p Study probability distributions. Goal VOCABULARY. Your Notes.
6.1 Georgia Performance Standard(s) MM3D1 Your Notes Construct and Interpret Binomial Distributions Goal p Study probability distributions. VOCABULARY Random variable Discrete random variable Continuous
More informationChapter 2  Graphical Summaries of Data
Chapter 2  Graphical Summaries of Data Data recorded in the sequence in which they are collected and before they are processed or ranked are called raw data. Raw data is often difficult to make sense
More information5/31/2013. 6.1 Normal Distributions. Normal Distributions. Chapter 6. Distribution. The Normal Distribution. Outline. Objectives.
The Normal Distribution C H 6A P T E R The Normal Distribution Outline 6 1 6 2 Applications of the Normal Distribution 6 3 The Central Limit Theorem 6 4 The Normal Approximation to the Binomial Distribution
More information13.2 Measures of Central Tendency
13.2 Measures of Central Tendency Measures of Central Tendency For a given set of numbers, it may be desirable to have a single number to serve as a kind of representative value around which all the numbers
More informationFinal Review Ch. 1 #2
Final Review Ch. 1 #2 9th Grade Algebra 1A / Algebra 1 Beta (Ms. Dalton) Student Name/ID: Instructor Note: Show all of your work! 1. Translate the phrase into an algebraic expression. The sum of and 2.
More informationChapter 2: Frequency Distributions and Graphs
Chapter 2: Frequency Distributions and Graphs Learning Objectives Upon completion of Chapter 2, you will be able to: Organize the data into a table or chart (called a frequency distribution) Construct
More informationStatistics 151 Practice Midterm 1 Mike Kowalski
Statistics 151 Practice Midterm 1 Mike Kowalski Statistics 151 Practice Midterm 1 Multiple Choice (50 minutes) Instructions: 1. This is a closed book exam. 2. You may use the STAT 151 formula sheets and
More informationName Please Print MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review Problems for MidTerm 1, Fall 2012 (STA120 Cal.Poly. Pomona) Name Please Print MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether
More information5) The table below describes the smoking habits of a group of asthma sufferers. two way table ( ( cell cell ) (cell cell) (cell cell) )
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine which score corresponds to the higher relative position. 1) Which score has a better relative
More informationThe Math. P (x) = 5! = 1 2 3 4 5 = 120.
The Math Suppose there are n experiments, and the probability that someone gets the right answer on any given experiment is p. So in the first example above, n = 5 and p = 0.2. Let X be the number of correct
More informationGraphical and Tabular. Summarization of Data OPRE 6301
Graphical and Tabular Summarization of Data OPRE 6301 Introduction and Recap... Descriptive statistics involves arranging, summarizing, and presenting a set of data in such a way that useful information
More informationExam 3 Review/WIR 9 These problems will be started in class on April 7 and continued on April 8 at the WIR.
Exam 3 Review/WIR 9 These problems will be started in class on April 7 and continued on April 8 at the WIR. 1. Urn A contains 6 white marbles and 4 red marbles. Urn B contains 3 red marbles and two white
More informationStatistics Chapter 2
Statistics Chapter 2 Frequency Tables A frequency table organizes quantitative data. partitions data into classes (intervals). shows how many data values are in each class. Test Score Number of Students
More informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to
More information4. Introduction to Statistics
Statistics for Engineers 41 4. Introduction to Statistics Descriptive Statistics Types of data A variate or random variable is a quantity or attribute whose value may vary from one unit of investigation
More informationHomework 8 Solutions
Homework 8 Solutions Chapter 5D Review Questions. 6. What is an exponential scale? When is an exponential scale useful? An exponential scale is one in which each unit corresponds to a power of. In general,
More informationLesson 2: Constructing Line Graphs and Bar Graphs
Lesson 2: Constructing Line Graphs and Bar Graphs Selected Content Standards Benchmarks Assessed: D.1 Designing and conducting statistical experiments that involve the collection, representation, and analysis
More informationNew York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and Quick Review Math Handbook Book 1
New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and The lessons that address each Performance Indicator are listed, and those in which the Performance Indicator
More informationCollege of the Canyons Math 140 Exam 1 Amy Morrow. Name:
Name: Answer the following questions NEATLY. Show all necessary work directly on the exam. Scratch paper will be discarded unread. One point each part unless otherwise marked. 1. Owners of an exercise
More information6.4 Normal Distribution
Contents 6.4 Normal Distribution....................... 381 6.4.1 Characteristics of the Normal Distribution....... 381 6.4.2 The Standardized Normal Distribution......... 385 6.4.3 Meaning of Areas under
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review Test 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use common sense to determine whether the given event is impossible; possible, but very
More informationFinal Graphing Practice #1
Final Graphing Practice #1 Beginning Algebra / Math 100 Fall 2013 506 (Prof. Miller) Student Name/ID: Instructor Note: Assignment: Set up a tutoring appointment with one of the campus tutors or with me.
More informationSection 3.1 Measures of Central Tendency: Mode, Median, and Mean
Section 3.1 Measures of Central Tendency: Mode, Median, and Mean One number can be used to describe the entire sample or population. Such a number is called an average. There are many ways to compute averages,
More informationHISTOGRAMS, CUMULATIVE FREQUENCY AND BOX PLOTS
Mathematics Revision Guides Histograms, Cumulative Frequency and Box Plots Page 1 of 25 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Higher Tier HISTOGRAMS, CUMULATIVE FREQUENCY AND BOX PLOTS
More informationEXAM #1 (Example) Instructor: Ela Jackiewicz. Relax and good luck!
STP 231 EXAM #1 (Example) Instructor: Ela Jackiewicz Honor Statement: I have neither given nor received information regarding this exam, and I will not do so until all exams have been graded and returned.
More informationDesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability
DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 171180 Data Analysis and Statistics Data Analysis and Statistics Solves
More informationExploratory Data Analysis
Exploratory Data Analysis Johannes Schauer johannes.schauer@tugraz.at Institute of Statistics Graz University of Technology Steyrergasse 17/IV, 8010 Graz www.statistics.tugraz.at February 12, 2008 Introduction
More informationMidterm Review Problems
Midterm Review Problems October 19, 2013 1. Consider the following research title: Cooperation among nursery school children under two types of instruction. In this study, what is the independent variable?
More informationBusiness Statistics. Successful completion of Introductory and/or Intermediate Algebra courses is recommended before taking Business Statistics.
Business Course Text Bowerman, Bruce L., Richard T. O'Connell, J. B. Orris, and Dawn C. Porter. Essentials of Business, 2nd edition, McGrawHill/Irwin, 2008, ISBN: 9780073319889. Required Computing
More informationMATH BOOK OF PROBLEMS SERIES. New from Pearson Custom Publishing!
MATH BOOK OF PROBLEMS SERIES New from Pearson Custom Publishing! The Math Book of Problems Series is a database of math problems for the following courses: Prealgebra Algebra Precalculus Calculus Statistics
More informationBig Ideas in Mathematics
Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards
More information32 Measures of Central Tendency and Dispersion
32 Measures of Central Tendency and Dispersion In this section we discuss two important aspects of data which are its center and its spread. The mean, median, and the mode are measures of central tendency
More informationNormal and Binomial. Distributions
Normal and Binomial Distributions Library, Teaching and Learning 14 By now, you know about averages means in particular and are familiar with words like data, standard deviation, variance, probability,
More informationDesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability
DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from tables* Compares
More informationDensity Curve. A density curve is the graph of a continuous probability distribution. It must satisfy the following properties:
Density Curve A density curve is the graph of a continuous probability distribution. It must satisfy the following properties: 1. The total area under the curve must equal 1. 2. Every point on the curve
More informationAP * Statistics Review. Descriptive Statistics
AP * Statistics Review Descriptive Statistics Teacher Packet Advanced Placement and AP are registered trademark of the College Entrance Examination Board. The College Board was not involved in the production
More informationAssessment For The California Mathematics Standards Grade 6
Introduction: Summary of Goals GRADE SIX By the end of grade six, students have mastered the four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative
More informationGrade. 8 th Grade. 2011 SM C Curriculum
OREGON FOCUS ON MATH OAKS HOT TOPICS TEST PREPARATION WORKBOOK 200204 8 th Grade TO BE USED AS A SUPPLEMENT FOR THE OREGON FOCUS ON MATH MIDDLE SCHOOL CURRICULUM FOR THE 200204 SCHOOL YEARS WHEN THE
More informationMeasures of Center Section 32 Definitions Mean (Arithmetic Mean)
Measures of Center Section 31 Mean (Arithmetic Mean) AVERAGE the number obtained by adding the values and dividing the total by the number of values 1 Mean as a Balance Point 3 Mean as a Balance Point
More information! x sum of the entries
3.1 Measures of Central Tendency (Page 1 of 16) 3.1 Measures of Central Tendency Mean, Median and Mode! x sum of the entries a. mean, x = = n number of entries Example 1 Find the mean of 26, 18, 12, 31,
More informationStatistics 100 Sample Final Questions (Note: These are mostly multiple choice, for extra practice. Your Final Exam will NOT have any multiple choice!
Statistics 100 Sample Final Questions (Note: These are mostly multiple choice, for extra practice. Your Final Exam will NOT have any multiple choice!) Part A  Multiple Choice Indicate the best choice
More informationProbability. Distribution. Outline
7 The Normal Probability Distribution Outline 7.1 Properties of the Normal Distribution 7.2 The Standard Normal Distribution 7.3 Applications of the Normal Distribution 7.4 Assessing Normality 7.5 The
More informationMBA 611 STATISTICS AND QUANTITATIVE METHODS
MBA 611 STATISTICS AND QUANTITATIVE METHODS Part I. Review of Basic Statistics (Chapters 111) A. Introduction (Chapter 1) Uncertainty: Decisions are often based on incomplete information from uncertain
More informationThe Normal Distribution
Chapter 6 The Normal Distribution 6.1 The Normal Distribution 1 6.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Recognize the normal probability distribution
More informationMargin of Error When Estimating a Population Proportion
Margin of Error When Estimating a Population Proportion Student Outcomes Students use data from a random sample to estimate a population proportion. Students calculate and interpret margin of error in
More informationNEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York
NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York DEPARTMENT: Mathematics COURSE: MAT 1272/ MA 272 TITLE: DESCRIPTION: TEXT: Statistics An introduction to statistical methods and statistical
More informationAn interval estimate (confidence interval) is an interval, or range of values, used to estimate a population parameter. For example 0.476<p<0.
Lecture #7 Chapter 7: Estimates and sample sizes In this chapter, we will learn an important technique of statistical inference to use sample statistics to estimate the value of an unknown population parameter.
More information103 Measures of Central Tendency and Variation
103 Measures of Central Tendency and Variation So far, we have discussed some graphical methods of data description. Now, we will investigate how statements of central tendency and variation can be used.
More informationMultiply and Divide with Scientific Notation Mississippi Standard: Multiply and divide numbers written in scientific notation.
Multiply and Divide with Scientific Notation Mississippi Standard: Multiply and divide numbers written in scientific notation. You can use scientific notation to simplify computations with very large and/or
More informationCHOSUN UNIVERSITY SEOKGANG,PARK CHAPTER 2 SECTION 1: GRAPHICAL AND TABULAR DESCRIPTIVE TECHNIQUES
CHAPTER 2 SECTION 1: GRAPHICAL AND TABULAR DESCRIPTIVE TECHNIQUES MULTIPLE CHOICE 1. The classification of student major (accounting, economics, management, marketing, other) is an example of a(n) a. nominal
More informationVariables. Exploratory Data Analysis
Exploratory Data Analysis Exploratory Data Analysis involves both graphical displays of data and numerical summaries of data. A common situation is for a data set to be represented as a matrix. There is
More informationFundamentals of Probability
Fundamentals of Probability Introduction Probability is the likelihood that an event will occur under a set of given conditions. The probability of an event occurring has a value between 0 and 1. An impossible
More informationThe Big 50 Revision Guidelines for S1
The Big 50 Revision Guidelines for S1 If you can understand all of these you ll do very well 1. Know what is meant by a statistical model and the Modelling cycle of continuous refinement 2. Understand
More informationThe Ordered Array. Chapter Chapter Goals. Organizing and Presenting Data Graphically. Before you continue... Stem and Leaf Diagram
Chapter  Chapter Goals After completing this chapter, you should be able to: Construct a frequency distribution both manually and with Excel Construct and interpret a histogram Chapter Presenting Data
More informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS Curriculum TERM 1 CONTENT Properties of numbers Describe the real number system by recognizing, defining and distinguishing properties of: Natural numbers Whole numbers
More informationSTATS8: Introduction to Biostatistics. Data Exploration. Babak Shahbaba Department of Statistics, UCI
STATS8: Introduction to Biostatistics Data Exploration Babak Shahbaba Department of Statistics, UCI Introduction After clearly defining the scientific problem, selecting a set of representative members
More informationCourse Text. Required Computing Software. Course Description. Course Objectives. StraighterLine. Business Statistics
Course Text Business Statistics Lind, Douglas A., Marchal, William A. and Samuel A. Wathen. Basic Statistics for Business and Economics, 7th edition, McGrawHill/Irwin, 2010, ISBN: 9780077384470 [This
More informationTechnology StepbyStep Using StatCrunch
Technology StepbyStep Using StatCrunch Section 1.3 Simple Random Sampling 1. Select Data, highlight Simulate Data, then highlight Discrete Uniform. 2. Fill in the following window with the appropriate
More informationMath Review Large Print (18 point) Edition Chapter 4: Data Analysis
GRADUATE RECORD EXAMINATIONS Math Review Large Print (18 point) Edition Chapter 4: Data Analysis Copyright 2010 by Educational Testing Service. All rights reserved. ETS, the ETS logo, GRADUATE RECORD EXAMINATIONS,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name 1) A recent report stated ʺBased on a sample of 90 truck drivers, there is evidence to indicate that, on average, independent truck drivers earn more than company hired truck drivers.ʺ Does
More informationAP Statistics Semester Exam Review Chapters 13
AP Statistics Semester Exam Review Chapters 13 1. Here are the IQ test scores of 10 randomly chosen fifthgrade students: 145 139 126 122 125 130 96 110 118 118 To make a stemplot of these scores, you
More information7. Normal Distributions
7. Normal Distributions A. Introduction B. History C. Areas of Normal Distributions D. Standard Normal E. Exercises Most of the statistical analyses presented in this book are based on the bellshaped
More informationBar Charts, Histograms, Line Graphs & Pie Charts
Bar Charts and Histograms Bar charts and histograms are commonly used to represent data since they allow quick assimilation and immediate comparison of information. Normally the bars are vertical, but
More informationDescriptive Statistics
Chapter 2 Descriptive Statistics 2.1 Descriptive Statistics 1 2.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Display data graphically and interpret graphs:
More informationChapter 3 Descriptive Statistics: Numerical Measures. Learning objectives
Chapter 3 Descriptive Statistics: Numerical Measures Slide 1 Learning objectives 1. Single variable Part I (Basic) 1.1. How to calculate and use the measures of location 1.. How to calculate and use the
More informationDef: The standard normal distribution is a normal probability distribution that has a mean of 0 and a standard deviation of 1.
Lecture 6: Chapter 6: Normal Probability Distributions A normal distribution is a continuous probability distribution for a random variable x. The graph of a normal distribution is called the normal curve.
More informationScope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Exam Name 1) Solve the system of linear equations: 2x + 2y = 1 3x  y = 6 2) Consider the following system of linear inequalities. 5x + y 0 5x + 9y 180 x + y 5 x 0, y 0 1) 2) (a) Graph the feasible set
More informationMEASURES OF VARIATION
NORMAL DISTRIBTIONS MEASURES OF VARIATION In statistics, it is important to measure the spread of data. A simple way to measure spread is to find the range. But statisticians want to know if the data are
More informationShape of Data Distributions
Lesson 13 Main Idea Describe a data distribution by its center, spread, and overall shape. Relate the choice of center and spread to the shape of the distribution. New Vocabulary distribution symmetric
More information4.1 Exploratory Analysis: Once the data is collected and entered, the first question is: "What do the data look like?"
Data Analysis Plan The appropriate methods of data analysis are determined by your data types and variables of interest, the actual distribution of the variables, and the number of cases. Different analyses
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Sample Final Exam Spring 2008 DeMaio Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the given degree of confidence and sample data to construct
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA. Tuesday, January 22, 2013 9:15 a.m. to 12:15 p.m.
INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Tuesday, January 22, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession
More informationPrestatistics. Review #3. Find the square root. 1) 144 A) 72 B) 12 C) 12 D) Not a real number. 2) A) 312 B) 25 C) 25 D) Not a real number
Prestatistics Review #3 Find the square root. 1) 144 A) 72 B) 12 C) 12 D) Not a real number 2)  625 A) 312 B) 25 C) 25 D) Not a real number 3) 0.25 A) 0.005 B) 0.05 C) 5 D) 0.5 Find the cube root.
More informationLAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING, AND COMPUTER SCIENCE
LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING, AND COMPUTER SCIENCE MAT 119 STATISTICS AND ELEMENTARY ALGEBRA 5 Lecture Hours, 2 Lab Hours, 3 Credits Pre
More informationCurrent Standard: Mathematical Concepts and Applications Shape, Space, and Measurement Primary
Shape, Space, and Measurement Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two and threedimensional shapes by demonstrating an understanding of:
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data. 1) Bill kept track of the number of hours he spent
More informationGlencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 33, 58 84, 87 16, 49
Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 68 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,
More informationExpression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds
Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative
More information6 3 The Standard Normal Distribution
290 Chapter 6 The Normal Distribution Figure 6 5 Areas Under a Normal Distribution Curve 34.13% 34.13% 2.28% 13.59% 13.59% 2.28% 3 2 1 + 1 + 2 + 3 About 68% About 95% About 99.7% 6 3 The Distribution Since
More informationHistogram. Graphs, and measures of central tendency and spread. Alternative: density (or relative frequency ) plot /13/2004
Graphs, and measures of central tendency and spread 9.07 9/13/004 Histogram If discrete or categorical, bars don t touch. If continuous, can touch, should if there are lots of bins. Sum of bin heights
More informationCentral Tendency and Variation
Contents 5 Central Tendency and Variation 161 5.1 Introduction............................ 161 5.2 The Mode............................. 163 5.2.1 Mode for Ungrouped Data................ 163 5.2.2 Mode
More informationSta 309 (Statistics And Probability for Engineers)
Instructor: Prof. Mike Nasab Sta 309 (Statistics And Probability for Engineers) Chapter 2 Organizing and Summarizing Data Raw Data: When data are collected in original form, they are called raw data. The
More informationMATHEMATICS Grade 6 2015 Released Test Questions
MATHEMATICS Grade 6 d Test Questions Copyright 2015, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without express written permission from the
More information