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STAT 5021  Statistical Analysis  Minnesota Study Resources

Homework6solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 6 (solutions) There are 20 total points. This homework is due Thursday, April 7 in your lab section. In this homework, you will analyze a dataset (preferably using R). The data are from an experiment where 24 animals were assigned

HW2
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 2 There are 20 total points (1 point for each part of each question). One question will be graded for correctness. This homework is due Thursday, February 10 in your lab section. 1. Dene the following terms and create your own exa

Algo_sol6
School: Minnesota
Course: Statistical Analysis
Daniels 1 Doug Daniels Analysis of Algorithms (NCSC602101) Fall 2006 11/26/2006 Week 12 Assignment Problem 30.25: Describe the generalization of the FFT procedure to the case in which n is a power of 3. Give a recurrence for the running time, and solve

Homework 2 Solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 2 (solutions) There are 20 total points (1 point for each part of each question). One question will be graded for correctness. This homework is due Thursday, February 10 in your lab section. 1. Dene the following terms and create

Homework5solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 5 (solutions) There are 20 total points (0.5 points for each part of each question and 8 points for handing in the assignment). One question will be graded for correctness. This homework is due Thursday, March 24 in your lab secti

6.IntroHypothesisTestsnotes
School: Minnesota
Course: Statistical Analysis
Introduction to hypothesis tests 1 Introduction 1.1 Denitions and examples Denition: hypothesis a claim about a statistical model. Examples Population model: Suppose that heights of US residents are modeled with a distribution with unknown mean and unkno

7.comparingtwosubpopulationsexamplessolutions
School: Minnesota
Course: Statistical Analysis
Comparing two subpopulations or processes Examples (with solutions) 1. A company produces special running shoes. In their advertisement, they claim that using their shoes will make runners faster. Each of the 85 members of the football team at Eastern Mic

7.ComparingTwosubpopulationsnotes
School: Minnesota
Course: Statistical Analysis
Comparing two subpopulations or processes 1 Introduction In previous chapters, we introduced models for a characteristic of units in a population, models for a process, and developed procedures (condence intervals & hypothesis tests) to make inference fo

8.anova
School: Minnesota
Course: Statistical Analysis
Notes on data analysis with R and ANOVA Adam J. Rothman November 3, 2011 Contents 1 Data analysis with R 1.1 Loading datasets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Exploratory data analysis . . . . . . . . . . . . . . . . .

9.simulations
School: Minnesota
Course: Statistical Analysis
Notes on simulations with R Adam J. Rothman November 3, 2011 Contents 1 Introduction 2 2 Inference for , the success probability or Bernoulli population proportion 2.1 Review of assumptions and formulas . . . . . . . . . . . . . . . . . . . . . . 2.2 Simu

10.introreg
School: Minnesota
Course: Statistical Analysis
Introduction to regression Adam J. Rothman November 27, 2011 Contents 1 Introduction 1.1 Denitions . . . . . . . . . . 1.2 Introductory example . . . . 1.2.1 Exploring the dataset 1.2.2 Modeling . . . . . . 1.3 Using the model to predict . 1.4 Hypothesis

Homework1sol
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 1 (solutions) There are 20 total points (1 point for each part of each question excluding question 1, which is worth 0 points). One question will be graded for correctness. This homework is due Tuesday, September 20 in your lab se

3.RandomVariablesnotes
School: Minnesota
Course: Statistical Analysis
1 Introduction to random variables Example 1.1: The experiment is to toss a fair coin 2 times. Recall the sample space, S = cfw_HH, HT, T H, T T . which we will assume has equallylikely outcomes (i.e., each has probability 1/4). Let X = the number of hea

6.introhypothesistestsexamplessolutions
School: Minnesota
Course: Statistical Analysis
Introduction to hypothesis tests Examples (with solutions) 1. A grocery store had an average checkout time of 3 minutes. The management wished to improve this and installed a new checkout system. To test the new performance, they measured the checkout tim

5.ConfidenceIntervalsnotes
School: Minnesota
Course: Statistical Analysis
Introduction to Condence Intervals 1 Introduction When analyzing data, we view our observations x1 , . . . , xn as a realization of a random sample X1 , . . . , Xn from a distribution with unknown parameters. We then use x1 , . . . , xn to compute estimat

4.EstimatorsEstimatesandSamplingDistributionsnotes
School: Minnesota
Course: Statistical Analysis
Estimators, Estimates, and Sampling distributions 1 Review Denition: experiment action or process that generates outcomes. Only one outcome can occur and we are usually uncertain which outcome this will be. Denition: random variable a numerical measuremen

4.Estimatorsexamplessolutions
School: Minnesota
Course: Statistical Analysis
Estimators, Estimates, and Sampling distributions Examples (with solutions) 1. Suppose that we use the Normal distribution to model the heights of females in the United states. Lets assume that this Normal distribution has mean = 65 inches and standard de

Greedy+dynamic+cormen+sols
School: Minnesota
Course: Statistical Analysis
pp&yq h q q GRWE7 cfw_ V i Vicfw_ f tj q q cfw_ k~ e 5 `pk Rutrqvuti rqi ts sq ymqr q h q q v utqGs mqr Rmmkjl 75i E EE55pp pg w ki Pvi ut q sutsqq ymqr q h q q v utqGs mqr Rm7 Rcfw_ 5 p ml kjf ji t EE5 pp ki Pvi utrqiutrqi ts ys mqr q h q eq Gv utR

3.randomvariablesexamplessolutions
School: Minnesota
Course: Statistical Analysis
Random Variables Examples (with solutions) 1. Let X be the number of televisions in an apartment, to be randomly selected in a small town. Suppose that X has probability mass function: x 0 p(x) 0.2 1 0.7 2 0.1 (a) Compute the mean/expected value of X . So

2.Probabilitynotes
School: Minnesota
Course: Statistical Analysis
Introduction to probability Note that a formal/rigorous introduction to probability is beyond the scope of this course. Probability is a numerical measure of uncertainty. Uncertainties are abundant. Consider uncertainties about the weather, a medical diag

Homework2sol
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 2 (solutions) There are 20 total points (1 point for each part of each question). One question will be graded for correctness. This homework is due Tuesday, September 27 in your lab section. 1. Dene the following terms and create

Homework3sol
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 3 (solutions) There are 20 total points (1 point for each part of each question and 3 points for handing in the assignment). One question will be graded for correctness. This homework is due Monday, October 10 in lecture. 1. Dene

Homework4sol
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 4 (solutions) There are 20 total points (1 point for each part of each question and 8 points for handing in the assignment). One question will be graded for correctness. This homework is due Tuesday, October 25 in your lab section

SolII15.63
School: Minnesota
Course: Statistical Analysis
Design and Analysis of Algorithms, Fall 2012 Exercise II: Solutions II1 Where in the matrix multiplicationbased DP algorithm for the allpairs shortest paths problem do we need the associativity of matrix multiplication? The algoritm computes the produc

P2_Solutions_to_Exercises_and_Problems
School: Minnesota
Course: Statistical Analysis
Selected Solutions for Chapter 2: Getting Started Solution to Exercise 2.22 S EL ECTION S ORT.A/ n D A: length for j D 1 to n 1 smallest D j for i D j C 1 to n if Ai < Asmallest smallest D i exchange Aj with Asmallest The algorithm maintains the loop in

COMP510_Assignment1_Ch15_JMC
School: Minnesota
Course: Statistical Analysis
September 10, 2012 Fall 2012 Comp 510Algorithms Janeth Moran Cervantes Assignment 1 Chapter 15: Matrix Chain Multiplication, Bitonic Traveling Salesman Problem, and Printing Neatly (a) Matrix Chain Multiplication 15.21) Find an optimal parenthesization

Alog30.27sol
School: Minnesota
Course: Statistical Analysis
CIS 23 Analysis of Algorithms Midterm 1 General guidelines: Answer as many questions as you can to the best of your ability. Partial credit will be given to incorrect answers with a good argument. Giving proofs is required to obtain full credit, unless st

Alog_sol5
School: Minnesota
Course: Statistical Analysis
Introduction to Algorithms, Spring 2010 Homework 3 solutions 9.38 1: function FIND MEDIAN (X , Y, n) 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: 15: 16: 17: 18: k = n/2 if k 2 then Merge X and Y , and return the median of the merged array. if n is odd t

Algosols1
School: Minnesota
Course: Statistical Analysis
THEORY OF ALGORITHMS SOLUTIONS TO THE PROBLEMS BAOJIAN HUA MAY 23,2004 15.21 Find an optimal parenthesization of a matrixchain product whose sequence of dimensions is < 5, 10, 3, 12, 5, 50, 6 >. Solution. Straightforward. 15.22 Give a recursive algorit

Algo_sols4
School: Minnesota
Course: Statistical Analysis
Xoo September 19, 2004 Email Address texnician@163.com Preface :P http:/ftp.cdaan.com/sy/light/clrs_study.pdf 1 Copyright 2004 lightzju@hotmail.com. All rights reserved. lightzju@hotmail.com 2004 Permission is granted to copy, distribute and/or modify thi

Algo_sols3
School: Minnesota
Course: Statistical Analysis
) ( )2F Y$ #2( &F Q Y$ a $ #2 cfw_ T aF2 (7 B Y Ru4Rf4fs R iRiii PYr9P7`0R)`%4`R$G%hy2`dS%y0$%94i9r`R$GF v s s s s 0 100 160 0 190 150 0 150 260 225 360 315 0 105 0 T$ a YF &F cfw_ B( Y TaF2 $# u ffP7`EGy$9AGF X`0$%Gw%3" s B Y ( Y ( $ ) B 8 7 $ I ( $ '

Algo_sols2
School: Minnesota
Course: Statistical Analysis
Introduction to Algorithms, Spring 2010 Homework 3 solutions 9.38 1: function FIND MEDIAN (X , Y, n) 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: 15: 16: 17: 18: k = n/2 if k 2 then Merge X and Y , and return the median of the merged array. if n is odd t

Homework8
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 8 There are 20 total points. This homework is due Tuesday, December 13 in your lab section. In this homework, you will analyze datasets (preferably using R). 1. Two numerical characteristics were measured for 18 countries. The rst

Homework7
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 7 There are 20 total points, 1 point for each part of each question and 5 points for turning in the assignment. This homework is due Friday, December 2 in lecture. 1. In this problem, you will analyze a dataset (preferably using R

Homework7solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 7 (solutions) There are 20 total points, 1 point for each part of each question and 5 points for turning in the assignment. This homework is due Friday, December 2 in lecture. 1. In this problem, you will analyze a dataset (prefer

Homework6sol
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 6 (solutions) There are 20 total points (1 point for each part of each question and 4 points for handing in the assignment). One question will be graded for correctness. This homework is due Monday, November 14 in lecture. 1. A co

Homework6
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 6 There are 20 total points (1 point for each part of each question and 4 points for handing in the assignment). One question will be graded for correctness. This homework is due Monday, November 14 in lecture. 1. A company produc

Homework5sol
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 5 (solutions) There are 20 total points (1 point for each part of each question and 6 points for handing in the assignment). One question will be graded for correctness. This homework is due Friday, November 4 in lecture. 1. James

Homework5
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 5 There are 20 total points (1 point for each part of each question and 6 points for handing in the assignment). One question will be graded for correctness. This homework is due Friday, November 4 in lecture. 1. James is conducti

Exam 1 Solution Sample 1
School: Minnesota
Course: Statistical Analysis
Stat 5021, First exam, Fall '05 Name Forty four people took this exam. The mean score was 75.9 with a standard deviation of 21.5. 1. Let X be a random variable with cumulative distribution if x < 1 0 0.1 if 1 x < 5 0.3 if 5 x < 7 F (x) = 0.7 if 7 x < 9 0.

Introduction To Regression Lecture Notes
School: Minnesota
Course: Statistical Analysis
Introduction to regression Adam J. Rothman April 12, 2011 Contents 1 Introduction 1.1 Denitions . . . . . . . . . . 1.2 Introductory example . . . . 1.2.1 Exploring the dataset 1.2.2 Modeling . . . . . . 1.3 Using the model to predict . 1.4 Hypothesis tes

Hw3
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 3 There are 20 total points (1 point for each part of each question and 3 points for handing in the assignment). One question will be graded for correctness. This homework is due Thursday, February 17 in your lab section. 1. Dene

Homework 4 Solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 4 (solutions) There are 20 total points (1 point for each part of each question and 8 points for handing in the assignment). One question will be graded for correctness. This homework is due Thursday, March 3 in your lab section.

HW4
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 4 There are 20 total points (1 point for each part of each question and 8 points for handing in the assignment). One question will be graded for correctness. This homework is due Thursday, March 3 in your lab section. 1. The data

Introduction To Confidence Intervals Examples
School: Minnesota
Course: Statistical Analysis
Introduction to condence intervals Examples 1. The temperature in degrees F of 20 individuals was measured: 101.8 98.3 95.9 97.2 100.2 100.3 99.7 99.2 97.5 96.8 99.4 96.5 97.3 97.9 98.2 103.8 101.0 99.4 97.8 93.5 The observed sample mean is x = 98.585 deg

Introduction To Confidence Intervals Examples Solutions
School: Minnesota
Course: Statistical Analysis
Introduction to condence intervals Examples (with solutions) 1. The temperature in degrees F of 20 individuals was measured: 101.8 98.3 95.9 97.2 100.2 100.3 99.7 99.2 97.5 96.8 99.4 96.5 97.3 97.9 98.2 103.8 101.0 99.4 97.8 93.5 The observed sample mean

Introduction To Confidence Intervals Lecture Notes Outline
School: Minnesota
Course: Statistical Analysis
Introduction to Condence Intervals 1 Introduction When analyzing data, we view our observations x1 , . . . , xn as a realization of a random sample X1 , . . . , Xn from a distribution with unknown parameters. We then use x1 , . . . , xn to compute estimat

Introduction To Hypothesis Testing Lecture Notes Outline
School: Minnesota
Course: Statistical Analysis
Introduction to hypothesis tests 1 1.1 Introduction Denitions and examples Denition: hypothesis a claim about a statistical model. Examples Population model: Suppose that heights of US residents are modeled with a distribution with unknown mean and unknow

Introduction To Hypothesis Tests Examples
School: Minnesota
Course: Statistical Analysis
Introduction to hypothesis tests Examples 1. A grocery store had an average checkout time of 3 minutes. The management wished to improve this and installed a new checkout system. To test the new performance, they measured the checkout times x1 , . . . , x

Homework 3 Solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 3 (solutions) There are 20 total points (1 point for each part of each question and 3 points for handing in the assignment). One question will be graded for correctness. This homework is due Thursday, February 17 in your lab secti

Estimators Estimates And Sampling Distributions Lecture Notes Outline
School: Minnesota
Course: Statistical Analysis
Estimators, Estimates, and Sampling distributions 1 Review Denition: experiment action or process that generates outcomes. Only one outcome can occur and we are usually uncertain which outcome this will be. Denition: random variable a numerical measuremen

SmplFinalAns
School: Minnesota
Course: Statistical Analysis
THE UNIVERSITY OF MINNESOTA Statistics 5021 Sample Final Examination Solutions 1. During the 1996 presidential campaign, one of the Republican candidates based his campaign on a proposal for a "flat tax" (income tax with just one rate). A polling org

Probability Solutions To Example Problems
School: Minnesota
Course: Statistical Analysis
Probability Examples (with solutions) 1. The experiment is to roll a sixsided die. (a) Write down the sample space S , that is, list all possible outcomes of this experiment. Solution: S = cfw_1, 2, 3, 4, 5, 6 (b) Let A be the event that die shows a numb

Summary Of Probability Rules
School: Minnesota
Course: Statistical Analysis
Summary of probability rules For an experiment with sample space S with a nite number of outcomes, and for arbitrary events A and B . Axioms: 1. 0 P (A) 1, 2. P (S ) = 1, and 3. when A and B are disjoint events, P (A B ) = P (A) + P (B ). General rules:

Random Variables Example Problems
School: Minnesota
Course: Statistical Analysis
Random Variables Examples 1. Let X be the number of televisions in an apartment, to be randomly selected in a small town. Suppose that X has probability mass function: x 0 p(x) 0.2 1 0.7 2 0.1 (a) Compute the mean/expected value of X . (b) What is the pro

Random Variables Example Problems Solutions
School: Minnesota
Course: Statistical Analysis
Random Variables Examples (with solutions) 1. Let X be the number of televisions in an apartment, to be randomly selected in a small town. Suppose that X has probability mass function: x 0 p(x) 0.2 1 0.7 2 0.1 (a) Compute the mean/expected value of X . So

Random Variables Lecture Ntoes Outline
School: Minnesota
Course: Statistical Analysis
1 Introduction to random variables Example 1.1: The experiment is to toss a fair coin 2 times. Recall the sample space, S = cfw_HH, HT, T H, T T . which we will assume has equallylikely outcomes (i.e., each has probability 1/4). Let X = the number of hea

Estimators, Estimates, And Sampling Distributions Example Problems
School: Minnesota
Course: Statistical Analysis
Estimators, Estimates, and Sampling distributions Examples 1. Suppose that we use the Normal distribution to model the heights of females in the United states. Lets assume that this Normal distribution has mean = 65 inches and standard deviation = 3 inche

Estimators, Estimates, And Sampling Distributions Example Problems Solutions
School: Minnesota
Course: Statistical Analysis
Estimators, Estimates, and Sampling distributions Examples (with solutions) 1. Suppose that we use the Normal distribution to model the heights of females in the United states. Lets assume that this Normal distribution has mean = 65 inches and standard de

Introduction To Hypothesis Tests Examples Solutions
School: Minnesota
Course: Statistical Analysis
Introduction to hypothesis tests Examples (with solutions) 1. A grocery store had an average checkout time of 3 minutes. The management wished to improve this and installed a new checkout system. To test the new performance, they measured the checkout tim

IntroHypothesisTestssolutions
School: Minnesota
Course: Statistical Analysis
Introduction to hypothesis tests 1 1.1 Introduction Denitions and examples Denition: hypothesis a claim about a statistical model. Examples Population model: Suppose that heights of US residents are modeled with a distribution with unknown mean and unknow

Midterm2solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Midterm 2 Name: InternetID: There are 3 questions, with point values given in parentheses for each part of each question. Show all work to receive credit. You are allowed two 8.5x11 inch sheets of paper with your notes written on both sid

Syllabus
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Spring 2011 Statistical Analysis Instructor: Adam Rothman, Ph.D. Oce: 383 Ford Hall Oce hours: 11am12pm Monday, 11am1pm Wednesday email: arothman@umn.edu Teaching Assistant: Xin Zhang Oce: 350 Ford Hall Oce hours: 12pm1pm & 4pm5pm Thursda

Introduction Lecture Notes Outline
School: Minnesota
Course: Statistical Analysis
Introduction to statistics Denition: model Oversimplied, approximate, and useful representations of real world objects or phenomena. Predictions and inferences generated by the model should be capable of being veried or refuted by comparing them with real

Homework 1 Solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 1 (solutions) There are 20 total points (1 point for each part of each question excluding question 1, which is worth 0 points). One question will be graded for correctness. This homework is due Thursday, February 3 in your lab sec

HW1
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 1 There are 20 total points (1 point for each part of each question excluding question 1, which is worth 0 points). One question will be graded for correctness. This homework is due Thursday, February 3 in your lab section. 1. The

Probability Example Problems
School: Minnesota
Course: Statistical Analysis
Probability Examples 1. The experiment is to roll a sixsided die. (a) Write down the sample space S , that is, list all possible outcomes of this experiment. (b) Let A be the event that die shows a number that is greater than or equal to 5. Write down th

Probability Lecture Notes Outline
School: Minnesota
Course: Statistical Analysis
Introduction to probability Note that a formal/rigorous introduction to probability is beyond the scope of this course. Probability is a numerical measure of uncertainty. Uncertainties are abundant. Consider uncertainties about the weather, a medical diag

Probabilitysolutions
School: Minnesota
Course: Statistical Analysis
Introduction to probability Note that a formal/rigorous introduction to probability is beyond the scope of this course. Probability is a numerical measure of uncertainty. Uncertainties are abundant. Consider uncertainties about the weather, a medical diag

Midterm1solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Midterm 1 Name: InternetID: There are 4 questions, with point values given in parentheses for each part of each question. Show all work to receive credit. You are allowed one 8.5x11 inch sheet of paper with your notes written on both side

Homework7solutions
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 7 There are 20 total points. This homework is due Thursday, April 28 in your lab section. In this homework, you will analyze datasets (preferably using R). 1. Two numerical characteristics were measured for 18 countries. The rst c

Comparing Two Populations Or Processes Examples
School: Minnesota
Course: Statistical Analysis
Comparing two populations or processes Examples 1. A company produces special running shoes. In their advertisement, they claim that using their shoes will make runners faster. Each of the 85 members of the football team at Eastern Michigan University ran

Comparing Two Populations Or Processes Examples With Solutions
School: Minnesota
Course: Statistical Analysis
Comparing two populations or processes Examples (with solutions) 1. A company produces special running shoes. In their advertisement, they claim that using their shoes will make runners faster. Each of the 85 members of the football team at Eastern Michig

Comparing Two Populations Or Processes Lecture Notes Outline
School: Minnesota
Course: Statistical Analysis
Comparing two populations or processes 1 Introduction In previous chapters, we introduced models for a characteristic of units in a population, models for a process, and developed procedures (condence intervals & hypothesis tests) to make inference for t

ComparingTwoPopulationssolutionsParta
School: Minnesota
Course: Statistical Analysis
Comparing two populations or processes 1 Introduction In previous chapters, we introduced models for a characteristic of units in a population, models for a process, and developed procedures (condence intervals & hypothesis tests) to make inference for t

Homework 5
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 5 There are 20 total points (0.5 points for each part of each question and 8 points for handing in the assignment). One question will be graded for correctness. This homework is due Thursday, March 24 in your lab section. 1. James

ANOVA Lecture Notes Outline
School: Minnesota
Course: Statistical Analysis
Notes on data analysis with R and ANOVA Adam J. Rothman March 23, 2011 Contents 1 Data analysis with R 1.1 Loading datasets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Exploratory data analysis . . . . . . . . . . . . . . . . . .

Homework6
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 6 There are 20 total points. This homework is due Thursday, April 7 in your lab section. In this homework, you will analyze a dataset (preferably using R). The data are from an experiment where 24 animals were assigned to one of f

Homework7
School: Minnesota
Course: Statistical Analysis
Statistics 5021 Homework 7 There are 20 total points. This homework is due Thursday, April 28 in your lab section. In this homework, you will analyze datasets (preferably using R). 1. Two numerical characteristics were measured for 18 countries. The rst c

SmplFinal
School: Minnesota
Course: Statistical Analysis
THE UNIVERSITY OF MINNESOTA Statistics 5021 Sample Final Examination This was a closed book twohour exam. Students were allowed two 8.5" by 11" sheet of notes. A book of tables was provided. This included standard normal probabilities, t distributio