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### MAC1105Sections3.1-3.4

Course: MAC 1105, Fall 2010
School: University of Florida
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University of Florida - MAC - 1105
University of Florida - MAC - 1105
University of Florida - MAC - 1105
University of Florida - MAC - 1105
Online Quizzes DatesOnline Quiz 1Sunday 09/12/2010 : Certify Section 1.1, Section 1.2 , Section 1.3a and Section1.3bOnline Quiz 2Sunday 09/19/2010: Certify Section 1.4a and Section 1.4bOnline Quiz 3Sunday 10/03/2010: Certify Section 1.5 and Section
University of Florida - MAC - 1105
MAC1105 Quiz 1 (2 pages)Name: SOLUTION1. Write the following set in set-builder notation (3 points):cfw_7, 0, 7, 14, 21Answer:cfw_7x| x isan integer s.t.1 x 3 2. Write the following sets in interval notation (1.5 points each)a) cfw_ x|12 &lt; x 32b
University of Florida - MAC - 1105
Quiz 2 MAC1105 (15 points)Name: SOLUTION2 pages1. Simplify the following unions and intersections of intervals (1 point each)a) (, 7] (0, )Answer:(, )b) [2, 5] [3, 4]Answer:[3, 4]c) N Z RAnswer: Let's do this in two parts:We rst determine that
University of Florida - STA - 2014
A Short History of ProbabilityFrom Calculus, Volume II by Tom M. Apostol (2nd edition, John Wiley &amp; Sons, 1969 ):&quot;A gambler's dispute in 1654 led to the creation of a mathematical theory of probability by two famousFrench mathematicians, Blaise Pascal
University of Florida - STA - 2014
ASSIGNMENTS STA 2014Assignment 1Section 1.1: 14, 16, 18, 22, 28, 31, 34Section 1.2: 12, 14, 15Assignment 2Section 1.4: 12, 13, 15, 17, 19, 21Section 1.5: 13, 14, 16, 18, 19, 21, 23Section 2.1: 11, 12 (a, b) , 14 (a,b), 15 (a,b), 16, 17 (a to e), 20
University of Florida - STA - 2014
Binomial ExperimentsWhich of the following are binomial experiments? Can any that are not be modified so that theywill become binomial experiments?a) Richard has just been given a 10-question multiple-choice quiz in his history class. Eachquestion has
University of Florida - STA - 2014
Binomial Distribution, Example 2Assume that the population of interest is the population of all adult (at least 18 years old) malesin the U. S. Assume that a certain proportion, p, of this population are over 6 feet tall, where0 p 1. We will select a r
University of Florida - STA - 2014
Confidence Interval Estimation of a Population Proportion, a ExampleAssume that I select a random sample of size n from a population, where n is large. For eachmember of the sample, I want the answer to a yes-or-no question. For sample member i, letX i
University of Florida - STA - 2014
Exam 1 Review Questions.1. Administrators at a large university want to know the average debt incurred by their graduates. Surveys were mailed to 210 graduates asking themto report their total student loan debt. Identify the population and sample inthe
University of Florida - STA - 2014
Finding the Mean (Expectation), Variance, and Standard Deviationof a Discrete Probability DistributionUsing the STAT Menu of the TI-83/TI-84 Graphing Calculator1. To find the mean, , of the distribution of a discrete random variable X:a) Choose STAT,
University of Florida - STA - 2014
Hypothesis Tests Some ExamplesExample 1: Directional hypothesis test for a population mean.The U. S. Food and Drug Administration recommends that individuals consume 1000 mg ofcalcium daily. The International Dairy Foods Association (IDFA) sponsors and
University of Florida - STA - 2014
STEPS IN STATISTICAL HYPOTHESIS TESTINGStep 1: State the null hypothesis, H0, and the alternative hypothesis, Ha. The alternativehypothesis represents what the researcher is trying to prove. The null hypothesis represents thenegation of what the resear
University of Florida - STA - 2014
Statistics 2014Among the skills that you will be learning in this course are techniques for graphing data. Below is atype of graph that we will be looking at later in the course. You might find that this graph providesyou with some useful information.
University of Florida - STA - 2014
Chapter 2 Organizing and Summarizing DataDefinition: When data are in their original form, as collected, they are called raw data.We want to be able to visualize the characteristics of a data set; hence we construct graphicalrepresentations of the data
University of Florida - STA - 2014
Chapter 3 Numerically Summarizing DataAfter we have become somewhat familiar with the data through representing it graphically andobserving the characteristics of the distribution, we want to describe the characteristics with numericalvalues called des
University of Florida - STA - 2014
Ch 4 Describing the Relation between Two VariablesDefinition: When the values of two variables are measured for each member of a population orsample, the resulting data is called bivariate.When both variables are quantitative, we may represent the data
University of Florida - STA - 2014
Chapter 5 ProbabilityDefn: A random experiment is one for which the outcome cannot be predicted with certainty.Defn: The set of all possible outcomes of a random experiment is called the sample space of theexperiment.Defn: An event is a subset of the
University of Florida - STA - 2014
Chapter 5 ProbabilityDefn: A random experiment is one for which the outcome cannot be predicted with certainty.Defn: The set of all possible outcomes of a random experiment is called the sample space of theexperiment.Defn: An event is a subset of the
University of Florida - STA - 2014
Chapter 6 The Binomial Probability DistributionDefn: A random variable is a variable whose values are determined by chance. We will denote arandom variable by a capital letter, such as X, and denote particular values of the variable by thecorresponding
University of Florida - STA - 2014
Chapter 7 The Normal Probability DistributionThe normal distribution is a special type of bell-shaped curve.Defn: A random variable X is said to be normally distributed or to have a normal distribution if itsdistribution has the shape of a normal curve
University of Florida - STA - 2014
Chapter 8 Sampling DistributionsDefn: Sampling error is the error resulting from using a sample to infer a populationcharacteristic.Example: We want to estimate the mean amount of Pepsi-Cola in 12-oz. cans coming off anassembly line by choosing a rand
University of Florida - STA - 2014
Chapter 9 Estimating the Value of a ParameterUsing Confidence IntervalsThere are two branches of statistical inference, 1) estimation of parameters and 2) testing hypothesesabout the values of parameters. We will consider estimation first.Defn: A poin
University of Florida - STA - 2014
Chapter 10 Testing Claims Regarding a ParameterThe other branch of statistical inference is concerned with testinghypotheses about the value of parameters.Defn: A hypothesis is a statement about the value of a populationparameter.Defn: In a hypothesi
University of Florida - STA - 2014
Normal Approximation to the Binomial DistributionUsing the Central Limit TheoremAssume that I select a random sample of size n from a population, where n is large. For eachmember of the sample, I want the answer to a yes-or-no question. For sample memb
University of Florida - STA - 2014
1Understanding Probability LawsLet a random experiment have sample space S. Any assignment of probabilities to events must satisfy three basic laws ofprobability, called Kolmogorovs Axioms:1) For any event A, P(A) 0.2) P(S) = 1.3) If A and B are two
University of Florida - STA - 2014
Statistics 2014, Spring 2010Final Exam Review TopicsChapter 1 Data CollectionStatistics, Population, Sample, Parameter, Statistic, Variable, DataBranches of statistics: Descriptive, InferentialTypes of data: 1) Attribute, or qualitative 2) Numerical,
University of Florida - STA - 2014
Review 3 STA 20141. Mahalo Burgers, Inc, claims that the mean gross revenue of Mahalo Burgers stores is \$300000 per year witha standard deviation of \$72000.a) If a random sample of 38 stores in the franchise is selected, describe the sampling distribut
University of Florida - STA - 2014
Sampling Distributions and the Central Limit TheoremWhenever we select a random sample from a population, collect data from the members of thesample, and summarize the data values in the form of a statistic, that statistic is a random variable(dependin
University of Florida - STA - 2014
Statistics 2014, Spring 2010Exam 2 Review TopicsChapter 5 ProbabilityRandom experiment.Sample spaceEvents: Simple event; Compound event.Assigning probabilities to events:Classical approach: equally likely outcomesRelative frequency (empirical) app
University of Florida - STA - 2014
STA2014 Review For Exam 21.The data below are the nal exam scores of 10 randomly selected history students and the number of hours theyslept the night before the exam. Suppose we want to predict the score of the exam using the hours slept the night befo
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
University of Florida - STA - 2014
STEPS IN STATISTICAL HYPOTHESIS TESTINGStep 1: State the null hypothesis, H0, and the alternative hypothesis, Ha. The alternative hypothesisrepresents what the researcher is trying to prove. The null hypothesis represents the negation of what theresear
University of Florida - STA - 2014
STA 2014 Elementary Statistics for Health andSocial Science Majors Fall 2010Section: 82136Instructor: Pablo CrespoOce: Building 51 Room 3127Phone: ?E-mail: pablo.crespo@unf.eduURL:http:/www.unf.edu/~pablo.crespo/Oce Hours: MW 1:30-2:30 PM and TR 1
University of Florida - STA - 2014
Introduction to the TI-83/84Clearing the memory of the TI-83/84 graphing calculator:Some of you may have used calculators, and these calculators may have items stored in memory by theprevious owner. In addition, after you have been using your calculato
Ohio State - STA - 528
Ohio State - STA - 528
Ohio State - STA - 528
Statistics 528: Homework 2Due Friday, January 231. IPS Section 1.2 exercises 1.41, 1.45, 1.50, 1.58, 1.722. IPS Section 1.3 exercises 1.78, 1.86, 1.88, 1.98, 1.112, 1.140Problem 1.140 is a bit more open-ended than other problems in the text.The idea
Ohio State - STA - 528
Ohio State - STA - 528
Ohio State - STA - 528
Ohio State - STA - 528
Statistics 528: Homework 4Due Wednesday, February 41. IPS Section 2.3, exercises 2.40, 2.46, 2.522. IPS Section 2.4, exercises 2.58, 2.64NOTE: See lecture notes 10 for information on performing least squaresregression using MINITAB.3. IPS Section 2.
Ohio State - STA - 528
Ohio State - STA - 528
Statistics 528: Homework 5Due Wednesday, Feb. 111. IPS Section 3.1, exercise 3.82. IPS Section 3.2, exercises 3.10, 3.14, 3.16, 3.32See MINITAB Handout 3 for instructions on using MINITAB for problems 3.14and 3.32.3. IPS Section 3,3, exercises 3.38,
Ohio State - STA - 528
Ohio State - STA - 528
Ohio State - STA - 528
Ohio State - STA - 528
Statistics 528: Homework 7Due Monday, March 11. IPS Section 5.1, exercises 5.2, 5.6, 5.8, 5.14Use Minitab for the calculation of binomial probabilities (see lecture notes 19).2. IPS Section 5.2, exercises 5.28, 5.33, 5.38, 5.44