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Washington | STAT 311
Intro Stat
Professors
- Tamre Cardoso,
- Steven Curtis,
- Wanda Morris,
- James,
- Eliezer Gurarie
100 sample documents related to STAT 311
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Stat 311 Sample Quiz Problems 1. A coin is ipped three times. Let A = cfw_rst ip is heads B = cfw_second ip is heads C = cfw_third ip is heads Express each of the following events in terms of A, B , and C . D = cfw_all three ips are tails E = cfw_exactly
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!\" # $%(- .$ $( $ \" \" - ( * \" /( $ -) ) 0$ $ * $ /12 3 412 3 512+3 # 5 $ * ( !/4#1! #1!89#18:+ !45#1, !/45#1!89#1!#1:8 !4<5#1, !/<4#1!89
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STAT311 Final Sample Exam This is just a sample test 1. One out of 1000 light bulbs manufactured by factory A is defective. What is the probability that there are more than 2 defective ones in 10, 000 light bulbs manufactured by factory A? 1 e10 10e10 50e
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Stat312: Sample Midterm II. Moo K. Chung mchung@stat.wisc.edu March 25, 2003 1. Consider the sample of fat content of 10 randomly selected hot dogs: 25, 21, 22, 17, 29, 25, 16, 20, 19, 22. Suppose that these are from a normal population. We want to test i
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!\" # $%(- .$ $( $ \" \" - ( * \" /( $ -) ) 0$ $ * $ /12 3 412 3 512&+3 # 6 ( 7 # 5 $ * ( !/4# !45# !/45# !8# !495# !/94# #/4 (7( # /4) 7/45) 7(
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Stat 311 Sample Quiz Solutions 1. A coin is ipped three times. Let A = cfw_rst ip is heads B = cfw_second ip is heads C = cfw_third ip is heads Express each of the following events in terms of A, B , and C . D = cfw_all three ips are tails = Ac B c C c E
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Name _ Quiz 3 STAT 311 Chapters 7 & 8 Gray Directions: There is a 60 minute time limit. A graphing calculator may be used. All work must be shown. If you use a calculator, write down your calculator commands. Each problem is worth 25 points. Each part of
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About these solutions The solutions that follow were prepared by Darryl Nester. In some cases, solutions were based on those prepared for earlier editions of IPS. Jackie Miller reviewed the solutions, especially focusing on those which were new (or revise
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x 22.06 19.88 18.83 22.09 17.19 20.72 18.1 18.01 18.69 18.05 17.75 19.96 17.87 20.2 20.65 20.32 21.37 17.31 23.5 22.02 20 y 34.38 30.38 26.13 31.85 26.77 29 28.92 26.3 29.49 31.36 27.07 31.17 27.74 30.01 29.61 31.78 32.93 30.29 28.57 29.8 50 y 55 50 45 y
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x 22.06 19.88 18.83 22.09 17.19 20.72 18.1 18.01 18.69 18.05 17.75 19.96 17.87 20.2 20.65 20.32 21.37 17.31 23.5 22.02 y 34.38 30.38 26.13 31.85 26.77 29 28.92 26.3 29.49 31.36 27.07 31.17 27.74 30.01 29.61 31.78 32.93 30.29 28.57 29.8 35 y 34 33 32 31 30
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Stat 311: 3-28-11 Does texting while driving cause accidents? How would you design a study to answer that question? Can you collect the data in a survey? o How would you measure texting and driving? o Can you just compare those who do to those who dont? C
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STAT 311: 3-30-11 notes Basic Concepts: Location- middle Spread- range Skew- asymmetry Mean- balancing point of a distribution Median- different interpretation of balancing point; half the observations are above the median and half are below Mode- if you
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Homework 2 Solutions Chapter 2 2.6 a) The graph shown is a pie chart. b) The qualitative variable described in the graph is type of firearms (guns) owned by adults in the US who own firearms. c) The most common type of firearm owned is a rifle, with 33.0%
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Homework 4 Solutions Chapter 4 4.15 a) p(5) = 0.25 b) P(x=2 or x=10) = P(x=2)+P(x=10) = 0.15+0.25 = 0.10 c) P(x8) = P(x=2)+P(x=3)+P(x=5)+P(x=8) = 1-P(x=10) = 0.75 4.21 a) 0.09+0.30+0.37+0.20+0.04=1.0 b) P(3 or 4) = P(3)+P(4) = 0.24 c) P(<2) = P(0)+P(1) =
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Homework 5 Solutions Chapter 4 4.4 a) b) c) d) e) f) Continuous Discrete Continuous Continuous Discrete Discrete 4.70 The lowest passing grade should be 15. 4.80 4.83 a) 0.368 b) 0.264 c) 0.920 4.90 a) 0.010 b) Yes 4.96 a) b) c) d) 0.268 0.018 0.179 0 4.1
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Homework 6 Solutions Chapter 5 5.73 a) b) c) d) Yes =10; 2=6 0.726 0.7291 5.75 a) 0.1788 b) 0.5236 c) 0.6950 5.78 a) b) c) d) 1000 990 -1.6 0.0548 Chapter 6 6.28 a) b) c) d) xbar = 10; xbar = 0.6 xbar = 100; xbar = 5 xbar = 20; xbar = 8 xbar = 10; xbar =
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Homework 7 Solutions Chapter 7 7.7 a) b) c) d) 1.645 2.58 1.96 1.28 a) b) c) d) e) 95% 90% 99% 80% 67.78% 7.8 7.11 a) 83.2 1.25 or (81.95, 84.45) b) The confidence coefficient is the probability, in this case .95, that an interval estimator encloses the p
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Homework 8 Solutions Chapter 8 8.8 8.10 8.26 a) z < -2.33 b) z = -0.40 c) Fail to reject H0 8.30 z = -1.86 Fail to reject H0 8.47 a) p = 0.3446 b) Fail to reject H0
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Homework 10 Solutions Chapter 11 11.1 The probabilistic model includes an error term to account for unexplained variation. 11.4 No. The random error component allows the values of the variable to fall above or below the line. 11.14 11.16 11.21 a) y = 0 +
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McKays ST311 Notes: Some Math You Should Know S. McKay Curtis September 25, 2010 1 Sets You can think of a set as a collection of distinct objects or things. Objects in a set are called the elements or members of a set. We often work with sets of numbers,
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ST311: Practice Quiz 1 January 25, 2011 1. You have three red tomatoesR1 , R2 , R3 and one green tomatoG. Consider an experiment where a sample of 2 tomatoes is taken at random (without replacement) from the 4 tomatoes. (a) How many elements are in the sa
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ST311: Extra problems February 22, 2011 1. Let X1 , . . . , X10 be independent random variables with distribution N , 2 . What is the n X distribution of X = i=1 i ? n 2 A. N , 10 2 B. N , 10 C. N , 10 2 D. Approximately N , 10 2 E. Approximately N ,
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Homework 1 Solutions Chapter 1 1.13 a) earthquakes b) sample; the size of the population of earthquakes is larger than the 15 studied c) ground motion qualitative; magnitude quantitative; acceleration quantitative 1.16 a) The population is all of the stud
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8-3 Testing a Claim Abt. A Proportion 17. In a study of store checkout scanners, 1234 items were checked and 20 checked items were found to be overcharges, and 1214 checked iterms were not overcharves. Use a .05 significance level to test the claim t
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Name:_ Statistics 311 Final Exam Section: _KEY_ 5 June 2007 Please read the following instructions carefully. Do not turn the page and start the exam until you are told to begin. This is an open book exam. You may also have one sheet (double-sided)
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Stat 311 Midterm 4 May 2007 Name:_KEY_ Section:_ This is a closed book exam, except for the use of the normal table at the back of your book. You are allowed, however, to have one sheet (double-sided) of 8.5 x 11 paper with notes, either handwritte
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Quiz section Tuesday, April 04 (5-number summary; plots; outliers, bell-shaped vs skewed distributions; z-scores; observational studies vs randomized experiments, variable types ) 1. Does a stem-and-leaf plot provide sufficient information to determi
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10.6 Choosing a Sample Size Table provides 95% conservative margin of error for various sample sizes n Important features: 1. When sample size is increased, margin of error decreases. 2. When a large sample size is made even larger, the improvement i
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Chapter 1: Statistics, Data, and Statistical Thinking Definitions McClave and Sincich Statistics is the science of data. This involves collecting, classifying, summarizing, organizing, analyzing, and interpreting numerical information. American Herit
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Formulas and Tables for Elementary Statistics, Tenth Edition, by Mario F. Triola Copyright 2006 Pearson Education, Inc. Ch. 3: Descriptive Statistics x x s s s Sx n Sf Mean Mean (frequency table) Standard deviation Standard deviation (shortcut) S
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>#Some tips on Sampling# > n.draws <- 6 #Number of draws per trial > n.trials <- 100 #Numer of trials > > #Lets randomly choose one of the numbers between 1 and 4 > #Using the sample function, n.draws * n.trials times > #Where each number has the sam
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Statistics 311 J. McLean Sloughter Final exam review list Ch. 8 Hypothesis Hypothesis test Rare event rule Null hypothesis Alternative hypothesis Test statistic Critical region Significance level Critical value Two-tailed, left-tailed, right-tailed t
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Name:_ Section:_ Statistics 311 Practice Final Problem 1: Every time that Paul McCartney performs \"Hey Jude\" live, it has a slightly different length (largely depending on how many times he repeats the \"Na na na na\" refrain at the end of the song).
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Statistics 311 J. McLean Sloughter Quiz 3 review list Ch. 9 Hypothesis test for two proportions Pooled sample proportion Confidence interval for two proportions Finding number of successes Independent samples vs. matched pairs Hypothesis test for two
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Statistics 311 J. McLean Sloughter Quiz 2 review list Ch. 8 Hypothesis Hypothesis test Rare event rule Null hypothesis Alternative hypothesis Test statistic Critical region Significance level Critical value Two-tailed, left-tailed, right-tailed test
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Stat 311 Practice Exam 1 Name:_ Section:_ This is a closed book exam. You are allowed, however, to have one sheet (double-sided) of 8.5 X11 paper with notes. You may also use a calculator, although be sure to show your work. The exam consists of fi
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Stat 311 Practice Exam 1 Name:_ Section:_ This is a closed book exam. You are allowed, however, to have one sheet (double-sided) of 8.5 X11 paper with notes. You may also use a calculator, although be sure to show your work. The exam consists of fi
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Statistics 311 J. McLean Sloughter Midterm Exam review list Ch. 1 Population vs. sample Representative sample Parameter vs. statistic Types of data Quantitative, qualitative, discrete, continuous, nominal, ordinal, interval, ratio Loaded questions No
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Statistics 311 J. McLean Sloughter Quiz 1 review list Ch. 1 Population vs. sample Representative sample Parameter vs. statistic Types of data Quantitative, qualitative, discrete, continuous, nominal, ordinal, interval, ratio Loaded questions Nonrespo
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Statistics 311 J. McLean Sloughter Lecture 1 Story from the New York Times: http:/www.nytimes.com/2008/09/23/health/research/23beha.html?ref=health Study shows that the brain responds differently to rewards as people age Compared a group of volunteer
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Statistics 311 J. McLean Sloughter Lecture 4 Statistics Measures of center Mean average. Add all the values together, divide by the number of data points. x = individual observations n = sample size N = population size x= x n x N = the first is
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Statistics 311 J. McLean Sloughter Lecture 7 Probability examples Suppose we have developed a new, much easier and less expensive test for strep throat We want to determine the effectiveness of this test We know that in the overall population, the ch
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Statistics 311 J. McLean Sloughter Lecture 9 Binomial mean and standard deviation: = np = npq We use the binomial when counting the number of successes out of a set number of trials. In other situations, we may want to count the number of occurre
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Statistics 311 J. McLean Sloughter Lecture 11 Central Limit Theorem: If our random variable x has some distribution with mean and standard deviation , and we select simple random samples all of size n from the population, then the distribution of sa
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Statistics 311 J. McLean Sloughter Lecture 13 Still more with confidence intervals Sometimes, we may be interested in estimating the standard deviation. Our previous confidence intervals made use of the Central Limit Theorem. But that only applies to
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Statistics 311 J. McLean Sloughter Lecture 17 Hypothesis testing Hypothesis claim or statement about a population Hypothesis test / significance test standard procedure for testing a claim about a property of a population Go back to homework proble
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Statistics 311 J. McLean Sloughter Lecture 21 Hypothesis testing two samples We last looked at testing the difference between two proportions. Now we will consider testing the difference between two means. There are two general sorts of situations w
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Statistics 311 J. McLean Sloughter Lecture 23 Hypothesis testing review We have now looked at a number of different sorts of hypothesis tests. We can ask questions about a single proportion, a single mean with a known standard deviation, a single me
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Statistics 311 J. McLean Sloughter Lecture 25 Regression We now want to be able to describe the relationship between two variables using a line. How do we decide what line fits best? There are several possible criteria we could use. We want to make a
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Statistics 311 J. McLean Sloughter Lecture 26 We have looked at how to answer a question of whether a relationship is significant, and how to model that relationship. We can also measure how useful that relationship is. How much are we improving our
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Statistics 311 J. McLean Sloughter Lecture 27 We have learned how to conduct hypothesis tests about a single proportion or a single mean, comparing two proportions or two means, comparing values for matched pairs of data, and for measuring the relati
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Statistics 311 J. McLean Sloughter Lecture 29 Review Let\'s look at an example regression problem. Suppose we want to predict people\'s times for the Seattle Marathon. Say we first want to consider making predictions on people\'s marathon times based on
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Testing Categorical Probabilities: TwoWay table Now consider multinomial experiments where data are classified according to two criteria-classification wrt two qualitative factors Study, based on a survey of 300 TV viewers, looking at relationship be
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