UNIVERSITY OF SASKATCHEWAN
|
|
- Gabriella Bridges
- 7 years ago
- Views:
Transcription
1 UNIVERSITY OF SASKATCHEWAN Department of Mathematics and Statistics April 22, 1995 STATISTICS 245 FINAL EXAMINATION Instructor: M.J. Miket Time: 3 hrs A textbook, formulae sheets and a calculator are allowed Note: NoT shall stand for none of these I. For the following sample of measurements, given as a stem-and-leaf display, Select the correct value of the statistic in questions (1) - (4). (a) 11 (b) 17 (c) 25 (d) (e) (f) 14 (g) 10 (h) (i) (j) Mean 2. Median 3. Q 1 4. Standard deviation. II. Given that E and F are independent events with probabilities P (E)=.2 and P (F )=.4, determine: 5. P (E F ) 6. P (F E) 7. P (F E) 1
2 8. P (F E) Choices for questions (5) - (8) are: (a) 0.08 (b) 0.14 (c) 0.26 (d) 0.33 (e) 0.20 (f) 0.42 (g) 0.52 (h) 0.64 (i) 0.77 (j) 0.40 III. A completely unprepared student decides to guess the answer to each of the 50 questions on a STATS 245 supplementary exam. 9. The first 25 questions are of a true-false type. Find the probability that the student will pass this half of the exam (for a pass 60% of questions must be answered correctly). 10. The last 25 questions are of a multiple choice type and each question has five possible responses. For a pass, 50% of these questions must be answered correctly. Find the probability of passing this half. Choices for questions (9) - (10) are: (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) NoT IV. In the Framingham Study, serum cholesterol levels were measured for a large number of healthy males. The population was then followed for 16 years. At the end of this time, the men were divided into two groups - those who had developed coronary heart disease and those who had not. The distributions of the initial serum cholesterol levels for each group were found to be approximately normal. Among individuals who eventually developed coronary heart disease, the mean serum cholesterol level was µ d = 244 mg/100ml, and the standard deviation was σ d =51mg/100ml; for those who did not develop the disease, the mean serum cholesterol level was µ nd = 219 mg/100ml, and the standard deviation was σ nd =41mg/100ml. 11. Suppose that an initial serum cholesterol level of 260 mg/100ml or higher is used to predict future coronary heart disease. What is the probability of predicting the disease for a man who will never develop it ( false positive error )? 12. What is the probability of failing to predict coronary heart disease for a man who will develop it ( false negative error )? 13. If repeated samples of size 10 are selected from the population of males that do not develop the coronary heart disease, what proportion of the samples will have a mean serum cholesterol level greater than 260 mg/100 ml? Choices for questions (11) - (13) are (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) NoT 2
3 V. Questions (14) - (29) are based on the following scenarios. You might find it useful to consider questions (14) - (18) as you read the scenarios. Scenario 1: Returning to the Framingham Study, it is believed that the mean serum cholesterol level of the men who do not develop heart disease must be less than the mean level of men who do. A sample of size 15 from the population of men who do not go on to develop coronary heart disease shows x = 219 mg/100ml and s =41mg/100ml. Can it be concluded that the true population mean for this group of men is 244 mg/100ml at the α =.05 level of significance? Scenario 2: A STATS 245 final examination, when set up by a certain instructor, consists of 75 multiple choice questions; each question with five possible responses. You want to establish that Alexander Joseph performs better on the exam than a person who guesses on every question. If Alexander Joseph obtains 22 correct, what is your conclusion at α =.05? Scenario 3: A commercial farmer harvests his entire field of beans at one time. Therefore he would like to plant a variety of green beans that mature all at one time (i.e. small standard deviation between maturity times of individual plants). A seed company has developed a new hybrid strain of green beans that it believes to be better for the commercial farmer. The maturity time of the standard variety has a mean of 50 days and a standard deviation of 2.1 days. A random sample of 30 plants of the new hybrid showed a standard deviation of 1.65 days. Is the new variety better at the 0.05 level of significance. Scenario 4: It would be interesting to determine whether the advice given by a physician during a routine physical examination is effective in encouraging patients to stop smoking. In a study of current smokers, one group of patients was given a brief talk about the hazards of smoking and was encouraged to quit. A second group received no advice pertaining to smoking. All patients were given a follow-up exam. In a sample of 114 patients who had received the advice, 11 reported that they had quit smoking; in a sample of 96 patients who had not, 7 quit smoking. Scenario 5: A study was conducted to investigate whether oat bran cereal helps to lower serum cholesterol in hypercholesterolemic males. A random sample of such individuals were placed on a diet which included either oat bran or corn flakes; after two weeks, their low-density lipoprotein (LDL) cholesterol levels were recorded. Each man was then switched to the alternative diet. After a second two week period, the LDL cholesterol level of each individual was again recorded. The data from this study are provided below. (population 1=corn flakes, population 2=oat bran) 3
4 corn flakes oat bran difference x x For the five scenarios described above, choose the appropriate hypotheses to be tested from the list given below: 14. Hypotheses to be tested for Scenario Hypotheses to be tested for Scenario Hypotheses to be tested for Scenario Hypotheses to be tested for Scenario Hypotheses to be tested for Scenario 5. Choices for (14) - (18) are (a) H 0 : σ 2 =4.41, H 1 : σ (b) H 0 : p 1 = p 2, H 1 : p 1 <p 2 (c) H 0 : µ = 244, H 1 : µ<244 (d) H 0 : µ D =0, H 1 : µ D 0 (e) H 0 : p 1 p 2 =0, H 1 : p 1 p 2 > 0 (f) H 0 : p =.2, H 1 : p.2 (g) H 0 : σ 2 =4.41, H 1 : σ 2 < 4.41 (h) H 0 : p =.2, H 1 : p>.2 (i) H 0 : µ = 244, H 1 : µ 244 4
5 (j) H 0 : µ D =0, H 1 : µ D > For which of the above scenarios would you apply the z-test? 20. For which of the above scenarios would you apply the t-test? 21. For which of the above scenarios would you apply the χ 2 -test? Choices for questions (19), (20) and (21): (a) forscenario4only (b) for scenarios 1 and 3 (c) for scenarios 1 and 5 (d) for scenarios 2 and 4 (e) for scenarios 2 and 5 (f) for scenarios 3, 4 and 5 (g) for scenarios 1, 2 and 5 (h) forscenario2only (i) forscenario3only (j) NoT 22. For Scenario 1, which of the following statements are correct or must be assumed? (i) the population is normal (ii) the Central Limit Theorem holds (iii) the standard deviation σ is known (a) (i) only, (b) (ii) only, (c) (iii) only, (d) (i) + (ii) only, (e) (i) + (iii) only, (f) (ii) + (iii) only, (g) all three, (h) NoT. 23. If you carry out the hypothesis test at the 0.05 significance level, your conclusion for Scenario 1 is (b) the test is not significant at 0.05 level (c) the sample is too small to conclude anything (d) the test is significant at 0.05 level 5
6 (e) NoT 24. For Scenario 2, the rejection region at the 5% level of significance is: (Note: TS denotes test statistic ) (a) TS 1.96 (b) TS 1.96 (c) TS 1.96 or TS 1.96 (d) TS (e) TS (f) TS or TS (g) TS (h) TS (i) TS or TS (j) NoT 25. For Scenario 2, thep-valueis (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) NoT 26. For Scenario 3, the numerical value of the test statistic is: (a) 3.26 (b) 9.65 (c) (d) (e) (f) (g) (h) (i) 3.75 (j) NoT 27. Based on the observed test statistic, the correct conclusions for Scenario 3 are: (a) reject at 5% level, reject at 10% level (b) retain at 5% level, retain at 10% level (c) retain at 5% level, reject at 10% level (d) reject at 5% level, retain at 10% level (e) NoT 6
7 28. For Scenario 4, a 98% confidence interval for the difference of proportions is: (a) ( , ) (b) ( , ) (c) ( , ) (d) ( , ) (e) ( , ) (f) ( , ) (g) ( , ) (h) ( , ) 29. The numerical value of the test statistic for scenario 5 is: (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) NoT VI. Three different methods of class evaluation for STATS 245 were investigated to determine whether they influence learning. The methods differed in the number of tests, homework and computer assignments. The same text and instructor were used in all three methods. The response variable was percentage of test points obtained by each student on the final exam. The actual data got erased by accident, but some summary quantities are n 1 =29, x 1 =74.7, s 1 =12.5 n 2 =18, x 2 =78.5, s 2 =12.6 n 3 =15, x 3 =79.5, s 3 =8.0 Also parts of the ANOVA table got erased, but it is actually possible to fill in blank spots. The missing entries are denoted by question numbers in parenthesis. Source D.F. S.S. M.S. F Treatment (30) (31) Error (32) (33) Total (34) 8257 Work out the missing entries (30) - (34), and then select your answers from the following (rounded) choices. (a) 61 (b) 5 (c) 286 (d) 59 (e) 135 (f) 2 (g) 80 (h) 30 (i) NoT 35. At the 0.05 significance level, the rejection region is given by (a) TS 2.61 (b) TS 5.70 (c) TS 3.15 (d) TS 2.49 (e) TS 3.49 (f) TS 8.74 (g) TS 3.29 (h) TS Based on the observed F statistic, your conclusion is best described as (a) reject H 0 : µ 1 = µ 2 = µ 3 7
8 (b) reject H 0 : µ 1 = µ 2 (c) the test is not significant (d) the test is significant (e) both (a) and (d) (f) both (b) and (d) (g) NoT VII. The tumor-producing potential of a new drug was tested. One hundred rats were used as a control group, 100 were exposed to a low dose of a new drug, and 100 were exposed to a high dose. The results were 0tumors 1ormore control low dose high dose Is there sufficient evidence to conclude that the dosage does, in fact, affect the occurrence of tumors using α =.05? 37. What is the number of degrees of freedom associated with this contingency table? (a) 12 (b) 9 (c) 16 (d) 6 (e) 11 (f) 20 (g) 3 (h) 13 (i) 2 (j) NoT 38. At the.05 level of significance, what is the critical region for the test statistic? (a) TS 2.59 (b) TS 5.99 (c) TS 4.45 (d) TS 0.10 (e) TS 2.59 (f) TS 5.99 (g) TS 4.45 (h) TS What is the expected number of rats with no tumors after having taken a high dose? 40. What is the contribution of the rats from the preceding question to the overall measure of discrepancy between the observed and expected frequencies (that is, to the numerical value of the test statistic)? Choices for question (39) and (40) are: (a) (b) (c) 0.23 (d) (e) 4.45 (f) 7.25 (g) 0.12 (h) 0.48 (i) 0.33 (j) NoT 8
9 VIII. Crickets make a chirping sound with their wing covers. Scientists have recognized that there is a linear relationship between the frequency of chirps and the temperature. The table below contains measurements for the striped ground cricket: y x Here, y is chirps per second and x is the temperature in degrees Fahrenheit. The data are shown on the following scatter plot. 9
10 10
11 Summary statistics are: n =15 15 y i = x i = i=1 i=1 15 y 2 i = i=1 i=1 i=1 x 2 i =96, x i y i =20, MINITAB output for this set of data is also enclosed to help answer questions. 41. What proportion of the total variability in y is explained by the linear regression? (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) NoT 42. What is the value of the correlation coefficient? (a) (b) (c) (d) (e) (f) (g) (h) (i) (h) If you test H 0 : β 0 =0against H 1 : β 0 0at 0.05 significance level, your conclusion will be best described as: (a) reject H 0 (b) do not reject H 0 (c) the test is not significant 11
12 (d) the test is significant (e) both (a) and (d) (f) both (b) and (c) (g) NoT 44. What is the mean predicted frequency when the temperature is 77 degrees? (a) (b) (c) 5.02 (d) (e) (f) (g) 6.13 (h) 1.57 (i) NoT 45. Find the 95% confidence interval for this prediction. (Pick the closest answer.) (a) (13, 18) (b) (11, 19) (c) (6, 17) (d) (1, 14) (e) (15, 17) (f) (14, 18) (g) (4, 16) (h) (6, 12) THE END 12
Regression Analysis: A Complete Example
Regression Analysis: A Complete Example This section works out an example that includes all the topics we have discussed so far in this chapter. A complete example of regression analysis. PhotoDisc, Inc./Getty
More informationName: Date: Use the following to answer questions 3-4:
Name: Date: 1. Determine whether each of the following statements is true or false. A) The margin of error for a 95% confidence interval for the mean increases as the sample size increases. B) The margin
More informationC. The null hypothesis is not rejected when the alternative hypothesis is true. A. population parameters.
Sample Multiple Choice Questions for the material since Midterm 2. Sample questions from Midterms and 2 are also representative of questions that may appear on the final exam.. A randomly selected sample
More information1. What is the critical value for this 95% confidence interval? CV = z.025 = invnorm(0.025) = 1.96
1 Final Review 2 Review 2.1 CI 1-propZint Scenario 1 A TV manufacturer claims in its warranty brochure that in the past not more than 10 percent of its TV sets needed any repair during the first two years
More informationFinal Exam Practice Problem Answers
Final Exam Practice Problem Answers The following data set consists of data gathered from 77 popular breakfast cereals. The variables in the data set are as follows: Brand: The brand name of the cereal
More informationThe Dummy s Guide to Data Analysis Using SPSS
The Dummy s Guide to Data Analysis Using SPSS Mathematics 57 Scripps College Amy Gamble April, 2001 Amy Gamble 4/30/01 All Rights Rerserved TABLE OF CONTENTS PAGE Helpful Hints for All Tests...1 Tests
More information1) The table lists the smoking habits of a group of college students. Answer: 0.218
FINAL EXAM REVIEW Name ) The table lists the smoking habits of a group of college students. Sex Non-smoker Regular Smoker Heavy Smoker Total Man 5 52 5 92 Woman 8 2 2 220 Total 22 2 If a student is chosen
More informationSTATISTICS 8, FINAL EXAM. Last six digits of Student ID#: Circle your Discussion Section: 1 2 3 4
STATISTICS 8, FINAL EXAM NAME: KEY Seat Number: Last six digits of Student ID#: Circle your Discussion Section: 1 2 3 4 Make sure you have 8 pages. You will be provided with a table as well, as a separate
More informationCONTENTS OF DAY 2. II. Why Random Sampling is Important 9 A myth, an urban legend, and the real reason NOTES FOR SUMMER STATISTICS INSTITUTE COURSE
1 2 CONTENTS OF DAY 2 I. More Precise Definition of Simple Random Sample 3 Connection with independent random variables 3 Problems with small populations 8 II. Why Random Sampling is Important 9 A myth,
More informationIntroduction to Statistics and Quantitative Research Methods
Introduction to Statistics and Quantitative Research Methods Purpose of Presentation To aid in the understanding of basic statistics, including terminology, common terms, and common statistical methods.
More informationElementary Statistics Sample Exam #3
Elementary Statistics Sample Exam #3 Instructions. No books or telephones. Only the supplied calculators are allowed. The exam is worth 100 points. 1. A chi square goodness of fit test is considered to
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, McGraw-Hill/Irwin, 2008, ISBN: 978-0-07-331988-9. Required Computing
More informationSTAT 350 Practice Final Exam Solution (Spring 2015)
PART 1: Multiple Choice Questions: 1) A study was conducted to compare five different training programs for improving endurance. Forty subjects were randomly divided into five groups of eight subjects
More information12: Analysis of Variance. Introduction
1: Analysis of Variance Introduction EDA Hypothesis Test Introduction In Chapter 8 and again in Chapter 11 we compared means from two independent groups. In this chapter we extend the procedure to consider
More informationCHAPTER 13 SIMPLE LINEAR REGRESSION. Opening Example. Simple Regression. Linear Regression
Opening Example CHAPTER 13 SIMPLE LINEAR REGREION SIMPLE LINEAR REGREION! Simple Regression! Linear Regression Simple Regression Definition A regression model is a mathematical equation that descries the
More informationRARITAN VALLEY COMMUNITY COLLEGE ACADEMIC COURSE OUTLINE MATH 111H STATISTICS II HONORS
RARITAN VALLEY COMMUNITY COLLEGE ACADEMIC COURSE OUTLINE MATH 111H STATISTICS II HONORS I. Basic Course Information A. Course Number and Title: MATH 111H Statistics II Honors B. New or Modified Course:
More informationStudy Guide for the Final Exam
Study Guide for the Final Exam When studying, remember that the computational portion of the exam will only involve new material (covered after the second midterm), that material from Exam 1 will make
More informationCHAPTER 11 CHI-SQUARE AND F DISTRIBUTIONS
CHAPTER 11 CHI-SQUARE AND F DISTRIBUTIONS CHI-SQUARE TESTS OF INDEPENDENCE (SECTION 11.1 OF UNDERSTANDABLE STATISTICS) In chi-square tests of independence we use the hypotheses. H0: The variables are independent
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 informationBowerman, O'Connell, Aitken Schermer, & Adcock, Business Statistics in Practice, Canadian edition
Bowerman, O'Connell, Aitken Schermer, & Adcock, Business Statistics in Practice, Canadian edition Online Learning Centre Technology Step-by-Step - Excel Microsoft Excel is a spreadsheet software application
More informationDescriptive Statistics
Descriptive Statistics Primer Descriptive statistics Central tendency Variation Relative position Relationships Calculating descriptive statistics Descriptive Statistics Purpose to describe or summarize
More informationCurriculum Map Statistics and Probability Honors (348) Saugus High School Saugus Public Schools 2009-2010
Curriculum Map Statistics and Probability Honors (348) Saugus High School Saugus Public Schools 2009-2010 Week 1 Week 2 14.0 Students organize and describe distributions of data by using a number of different
More informationMoraine Valley Community College Course Syllabus
Moraine Valley Community College Course Syllabus Course Title: Business Statistics Course Number: MTH 212 Semester: Fall 2006 I Faculty Information A. Instructor: Kevin M. Riordan, M.A. B. Office Hours:
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 information2013 MBA Jump Start Program. Statistics Module Part 3
2013 MBA Jump Start Program Module 1: Statistics Thomas Gilbert Part 3 Statistics Module Part 3 Hypothesis Testing (Inference) Regressions 2 1 Making an Investment Decision A researcher in your firm just
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, McGraw-Hill/Irwin, 2010, ISBN: 9780077384470 [This
More informationMath 201: Statistics November 30, 2006
Math 201: Statistics November 30, 2006 Fall 2006 MidTerm #2 Closed book & notes; only an A4-size formula sheet and a calculator allowed; 90 mins. No questions accepted! Instructions: There are eleven pages
More informationTwo-Sample T-Tests Assuming Equal Variance (Enter Means)
Chapter 4 Two-Sample T-Tests Assuming Equal Variance (Enter Means) Introduction This procedure provides sample size and power calculations for one- or two-sided two-sample t-tests when the variances of
More informationUnit 31 A Hypothesis Test about Correlation and Slope in a Simple Linear Regression
Unit 31 A Hypothesis Test about Correlation and Slope in a Simple Linear Regression Objectives: To perform a hypothesis test concerning the slope of a least squares line To recognize that testing for a
More informationRecall this chart that showed how most of our course would be organized:
Chapter 4 One-Way ANOVA Recall this chart that showed how most of our course would be organized: Explanatory Variable(s) Response Variable Methods Categorical Categorical Contingency Tables Categorical
More information1. The parameters to be estimated in the simple linear regression model Y=α+βx+ε ε~n(0,σ) are: a) α, β, σ b) α, β, ε c) a, b, s d) ε, 0, σ
STA 3024 Practice Problems Exam 2 NOTE: These are just Practice Problems. This is NOT meant to look just like the test, and it is NOT the only thing that you should study. Make sure you know all the material
More informationTwo-sample hypothesis testing, II 9.07 3/16/2004
Two-sample hypothesis testing, II 9.07 3/16/004 Small sample tests for the difference between two independent means For two-sample tests of the difference in mean, things get a little confusing, here,
More informationPrinciples of Hypothesis Testing for Public Health
Principles of Hypothesis Testing for Public Health Laura Lee Johnson, Ph.D. Statistician National Center for Complementary and Alternative Medicine johnslau@mail.nih.gov Fall 2011 Answers to Questions
More informationsocscimajor yes no TOTAL female 25 35 60 male 30 27 57 TOTAL 55 62 117
Review for Final Stat 10 (1) The table below shows data for a sample of students from UCLA. (a) What percent of the sampled students are male? 57/117 (b) What proportion of sampled students are social
More informationTwo-Sample T-Tests Allowing Unequal Variance (Enter Difference)
Chapter 45 Two-Sample T-Tests Allowing Unequal Variance (Enter Difference) Introduction This procedure provides sample size and power calculations for one- or two-sided two-sample t-tests when no assumption
More informationSection Format Day Begin End Building Rm# Instructor. 001 Lecture Tue 6:45 PM 8:40 PM Silver 401 Ballerini
NEW YORK UNIVERSITY ROBERT F. WAGNER GRADUATE SCHOOL OF PUBLIC SERVICE Course Syllabus Spring 2016 Statistical Methods for Public, Nonprofit, and Health Management Section Format Day Begin End Building
More informationAnswer: C. The strength of a correlation does not change if units change by a linear transformation such as: Fahrenheit = 32 + (5/9) * Centigrade
Statistics Quiz Correlation and Regression -- ANSWERS 1. Temperature and air pollution are known to be correlated. We collect data from two laboratories, in Boston and Montreal. Boston makes their measurements
More informationMind on Statistics. Chapter 12
Mind on Statistics Chapter 12 Sections 12.1 Questions 1 to 6: For each statement, determine if the statement is a typical null hypothesis (H 0 ) or alternative hypothesis (H a ). 1. There is no difference
More informationDATA INTERPRETATION AND STATISTICS
PholC60 September 001 DATA INTERPRETATION AND STATISTICS Books A easy and systematic introductory text is Essentials of Medical Statistics by Betty Kirkwood, published by Blackwell at about 14. DESCRIPTIVE
More informationAn Introduction to Statistics Course (ECOE 1302) Spring Semester 2011 Chapter 10- TWO-SAMPLE TESTS
The Islamic University of Gaza Faculty of Commerce Department of Economics and Political Sciences An Introduction to Statistics Course (ECOE 130) Spring Semester 011 Chapter 10- TWO-SAMPLE TESTS Practice
More information" Y. Notation and Equations for Regression Lecture 11/4. Notation:
Notation: Notation and Equations for Regression Lecture 11/4 m: The number of predictor variables in a regression Xi: One of multiple predictor variables. The subscript i represents any number from 1 through
More informationDescription. Textbook. Grading. Objective
EC151.02 Statistics for Business and Economics (MWF 8:00-8:50) Instructor: Chiu Yu Ko Office: 462D, 21 Campenalla Way Phone: 2-6093 Email: kocb@bc.edu Office Hours: by appointment Description This course
More informationI ~ 14J... <r ku...6l &J&!J--=-O--
City College of San Francisco Technology-Mediated Course Proposal Course Outline Addendum I. GENERAL DESCRIPTION A. Date B. Department C. Course Identifier D. Course Title E. Addendum Preparer F. Chairperson
More informationMATH 140 HYBRID INTRODUCTORY STATISTICS COURSE SYLLABUS
MATH 140 HYBRID INTRODUCTORY STATISTICS COURSE SYLLABUS Instructor: Mark Schilling Email: mark.schilling@csun.edu (Note: If your CSUN email address is not one you use regularly, be sure to set up automatic
More informationSimple Linear Regression Inference
Simple Linear Regression Inference 1 Inference requirements The Normality assumption of the stochastic term e is needed for inference even if it is not a OLS requirement. Therefore we have: Interpretation
More informationInstitute of Actuaries of India Subject CT3 Probability and Mathematical Statistics
Institute of Actuaries of India Subject CT3 Probability and Mathematical Statistics For 2015 Examinations Aim The aim of the Probability and Mathematical Statistics subject is to provide a grounding in
More informationStandard Deviation Estimator
CSS.com Chapter 905 Standard Deviation Estimator Introduction Even though it is not of primary interest, an estimate of the standard deviation (SD) is needed when calculating the power or sample size of
More informationChapter 7: Simple linear regression Learning Objectives
Chapter 7: Simple linear regression Learning Objectives Reading: Section 7.1 of OpenIntro Statistics Video: Correlation vs. causation, YouTube (2:19) Video: Intro to Linear Regression, YouTube (5:18) -
More informationSTAT 360 Probability and Statistics. Fall 2012
STAT 360 Probability and Statistics Fall 2012 1) General information: Crosslisted course offered as STAT 360, MATH 360 Semester: Fall 2012, Aug 20--Dec 07 Course name: Probability and Statistics Number
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 informationAssociation Between Variables
Contents 11 Association Between Variables 767 11.1 Introduction............................ 767 11.1.1 Measure of Association................. 768 11.1.2 Chapter Summary.................... 769 11.2 Chi
More informationGood luck! BUSINESS STATISTICS FINAL EXAM INSTRUCTIONS. Name:
Glo bal Leadership M BA BUSINESS STATISTICS FINAL EXAM Name: INSTRUCTIONS 1. Do not open this exam until instructed to do so. 2. Be sure to fill in your name before starting the exam. 3. You have two hours
More information3. There are three senior citizens in a room, ages 68, 70, and 72. If a seventy-year-old person enters the room, the
TMTA Statistics Exam 2011 1. Last month, the mean and standard deviation of the paychecks of 10 employees of a small company were $1250 and $150, respectively. This month, each one of the 10 employees
More informationCHAPTER 13. Experimental Design and Analysis of Variance
CHAPTER 13 Experimental Design and Analysis of Variance CONTENTS STATISTICS IN PRACTICE: BURKE MARKETING SERVICES, INC. 13.1 AN INTRODUCTION TO EXPERIMENTAL DESIGN AND ANALYSIS OF VARIANCE Data Collection
More informationMath 108 Exam 3 Solutions Spring 00
Math 108 Exam 3 Solutions Spring 00 1. An ecologist studying acid rain takes measurements of the ph in 12 randomly selected Adirondack lakes. The results are as follows: 3.0 6.5 5.0 4.2 5.5 4.7 3.4 6.8
More informationConfidence Intervals for Cp
Chapter 296 Confidence Intervals for Cp Introduction This routine calculates the sample size needed to obtain a specified width of a Cp confidence interval at a stated confidence level. Cp is a process
More informationHomework 11. Part 1. Name: Score: / null
Name: Score: / Homework 11 Part 1 null 1 For which of the following correlations would the data points be clustered most closely around a straight line? A. r = 0.50 B. r = -0.80 C. r = 0.10 D. There is
More informationMind on Statistics. Chapter 13
Mind on Statistics Chapter 13 Sections 13.1-13.2 1. Which statement is not true about hypothesis tests? A. Hypothesis tests are only valid when the sample is representative of the population for the question
More informationPractice problems for Homework 12 - confidence intervals and hypothesis testing. Open the Homework Assignment 12 and solve the problems.
Practice problems for Homework 1 - confidence intervals and hypothesis testing. Read sections 10..3 and 10.3 of the text. Solve the practice problems below. Open the Homework Assignment 1 and solve the
More informationLAB 4 INSTRUCTIONS CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
LAB 4 INSTRUCTIONS CONFIDENCE INTERVALS AND HYPOTHESIS TESTING In this lab you will explore the concept of a confidence interval and hypothesis testing through a simulation problem in engineering setting.
More information11. Analysis of Case-control Studies Logistic Regression
Research methods II 113 11. Analysis of Case-control Studies Logistic Regression This chapter builds upon and further develops the concepts and strategies described in Ch.6 of Mother and Child Health:
More informationUnivariate Regression
Univariate Regression Correlation and Regression The regression line summarizes the linear relationship between 2 variables Correlation coefficient, r, measures strength of relationship: the closer r is
More informationtable to see that the probability is 0.8413. (b) What is the probability that x is between 16 and 60? The z-scores for 16 and 60 are: 60 38 = 1.
Review Problems for Exam 3 Math 1040 1 1. Find the probability that a standard normal random variable is less than 2.37. Looking up 2.37 on the normal table, we see that the probability is 0.9911. 2. Find
More informationChapter 23 Inferences About Means
Chapter 23 Inferences About Means Chapter 23 - Inferences About Means 391 Chapter 23 Solutions to Class Examples 1. See Class Example 1. 2. We want to know if the mean battery lifespan exceeds the 300-minute
More informationCategorical Data Analysis
Richard L. Scheaffer University of Florida The reference material and many examples for this section are based on Chapter 8, Analyzing Association Between Categorical Variables, from Statistical Methods
More informationDescriptive and Inferential Statistics
General Sir John Kotelawala Defence University Workshop on Descriptive and Inferential Statistics Faculty of Research and Development 14 th May 2013 1. Introduction to Statistics 1.1 What is Statistics?
More informationSample Size and Power in Clinical Trials
Sample Size and Power in Clinical Trials Version 1.0 May 011 1. Power of a Test. Factors affecting Power 3. Required Sample Size RELATED ISSUES 1. Effect Size. Test Statistics 3. Variation 4. Significance
More informationX X X a) perfect linear correlation b) no correlation c) positive correlation (r = 1) (r = 0) (0 < r < 1)
CORRELATION AND REGRESSION / 47 CHAPTER EIGHT CORRELATION AND REGRESSION Correlation and regression are statistical methods that are commonly used in the medical literature to compare two or more variables.
More informationBiostatistics: Types of Data Analysis
Biostatistics: Types of Data Analysis Theresa A Scott, MS Vanderbilt University Department of Biostatistics theresa.scott@vanderbilt.edu http://biostat.mc.vanderbilt.edu/theresascott Theresa A Scott, MS
More informationUnderstanding Confidence Intervals and Hypothesis Testing Using Excel Data Table Simulation
Understanding Confidence Intervals and Hypothesis Testing Using Excel Data Table Simulation Leslie Chandrakantha lchandra@jjay.cuny.edu Department of Mathematics & Computer Science John Jay College of
More informationPRACTICE PROBLEMS FOR BIOSTATISTICS
PRACTICE PROBLEMS FOR BIOSTATISTICS BIOSTATISTICS DESCRIBING DATA, THE NORMAL DISTRIBUTION 1. The duration of time from first exposure to HIV infection to AIDS diagnosis is called the incubation period.
More information(More Practice With Trend Forecasts)
Stats for Strategy HOMEWORK 11 (Topic 11 Part 2) (revised Jan. 2016) DIRECTIONS/SUGGESTIONS You may conveniently write answers to Problems A and B within these directions. Some exercises include special
More informationStatistics I for QBIC. Contents and Objectives. Chapters 1 7. Revised: August 2013
Statistics I for QBIC Text Book: Biostatistics, 10 th edition, by Daniel & Cross Contents and Objectives Chapters 1 7 Revised: August 2013 Chapter 1: Nature of Statistics (sections 1.1-1.6) Objectives
More informationBA 275 Review Problems - Week 6 (10/30/06-11/3/06) CD Lessons: 53, 54, 55, 56 Textbook: pp. 394-398, 404-408, 410-420
BA 275 Review Problems - Week 6 (10/30/06-11/3/06) CD Lessons: 53, 54, 55, 56 Textbook: pp. 394-398, 404-408, 410-420 1. Which of the following will increase the value of the power in a statistical test
More informationMind on Statistics. Chapter 4
Mind on Statistics Chapter 4 Sections 4.1 Questions 1 to 4: The table below shows the counts by gender and highest degree attained for 498 respondents in the General Social Survey. Highest Degree Gender
More informationBA 275 Review Problems - Week 5 (10/23/06-10/27/06) CD Lessons: 48, 49, 50, 51, 52 Textbook: pp. 380-394
BA 275 Review Problems - Week 5 (10/23/06-10/27/06) CD Lessons: 48, 49, 50, 51, 52 Textbook: pp. 380-394 1. Does vigorous exercise affect concentration? In general, the time needed for people to complete
More informationEXCEL Tutorial: How to use EXCEL for Graphs and Calculations.
EXCEL Tutorial: How to use EXCEL for Graphs and Calculations. Excel is powerful tool and can make your life easier if you are proficient in using it. You will need to use Excel to complete most of your
More informationTI-Inspire manual 1. Instructions. Ti-Inspire for statistics. General Introduction
TI-Inspire manual 1 General Introduction Instructions Ti-Inspire for statistics TI-Inspire manual 2 TI-Inspire manual 3 Press the On, Off button to go to Home page TI-Inspire manual 4 Use the to navigate
More informationUsing Excel for inferential statistics
FACT SHEET Using Excel for inferential statistics Introduction When you collect data, you expect a certain amount of variation, just caused by chance. A wide variety of statistical tests can be applied
More informationEducation & Training Plan. Accounting Math Professional Certificate Program with Externship
Office of Professional & Continuing Education 301 OD Smith Hall Auburn, AL 36849 http://www.auburn.edu/mycaa Contact: Shavon Williams 334-844-3108; szw0063@auburn.edu Auburn University is an equal opportunity
More informationAdditional sources Compilation of sources: http://lrs.ed.uiuc.edu/tseportal/datacollectionmethodologies/jin-tselink/tselink.htm
Mgt 540 Research Methods Data Analysis 1 Additional sources Compilation of sources: http://lrs.ed.uiuc.edu/tseportal/datacollectionmethodologies/jin-tselink/tselink.htm http://web.utk.edu/~dap/random/order/start.htm
More informationStatistics Review PSY379
Statistics Review PSY379 Basic concepts Measurement scales Populations vs. samples Continuous vs. discrete variable Independent vs. dependent variable Descriptive vs. inferential stats Common analyses
More informationFairfield Public Schools
Mathematics Fairfield Public Schools AP Statistics AP Statistics BOE Approved 04/08/2014 1 AP STATISTICS Critical Areas of Focus AP Statistics is a rigorous course that offers advanced students an opportunity
More informationMULTIPLE LINEAR REGRESSION ANALYSIS USING MICROSOFT EXCEL. by Michael L. Orlov Chemistry Department, Oregon State University (1996)
MULTIPLE LINEAR REGRESSION ANALYSIS USING MICROSOFT EXCEL by Michael L. Orlov Chemistry Department, Oregon State University (1996) INTRODUCTION In modern science, regression analysis is a necessary part
More informationData Analysis Tools. Tools for Summarizing Data
Data Analysis Tools This section of the notes is meant to introduce you to many of the tools that are provided by Excel under the Tools/Data Analysis menu item. If your computer does not have that tool
More informationChapter 13 Introduction to Linear Regression and Correlation Analysis
Chapter 3 Student Lecture Notes 3- Chapter 3 Introduction to Linear Regression and Correlation Analsis Fall 2006 Fundamentals of Business Statistics Chapter Goals To understand the methods for displaing
More informationOrganizing Your Approach to a Data Analysis
Biost/Stat 578 B: Data Analysis Emerson, September 29, 2003 Handout #1 Organizing Your Approach to a Data Analysis The general theme should be to maximize thinking about the data analysis and to minimize
More informationFactors affecting online sales
Factors affecting online sales Table of contents Summary... 1 Research questions... 1 The dataset... 2 Descriptive statistics: The exploratory stage... 3 Confidence intervals... 4 Hypothesis tests... 4
More informationHow Does My TI-84 Do That
How Does My TI-84 Do That A guide to using the TI-84 for statistics Austin Peay State University Clarksville, Tennessee How Does My TI-84 Do That A guide to using the TI-84 for statistics Table of Contents
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 informationAP STATISTICS (Warm-Up Exercises)
AP STATISTICS (Warm-Up Exercises) 1. Describe the distribution of ages in a city: 2. Graph a box plot on your calculator for the following test scores: {90, 80, 96, 54, 80, 95, 100, 75, 87, 62, 65, 85,
More informationGeneral Method: Difference of Means. 3. Calculate df: either Welch-Satterthwaite formula or simpler df = min(n 1, n 2 ) 1.
General Method: Difference of Means 1. Calculate x 1, x 2, SE 1, SE 2. 2. Combined SE = SE1 2 + SE2 2. ASSUMES INDEPENDENT SAMPLES. 3. Calculate df: either Welch-Satterthwaite formula or simpler df = min(n
More informationA POPULATION MEAN, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
CHAPTER 5. A POPULATION MEAN, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING 5.1 Concepts When a number of animals or plots are exposed to a certain treatment, we usually estimate the effect of the treatment
More informationII. DISTRIBUTIONS distribution normal distribution. standard scores
Appendix D Basic Measurement And Statistics The following information was developed by Steven Rothke, PhD, Department of Psychology, Rehabilitation Institute of Chicago (RIC) and expanded by Mary F. Schmidt,
More informationChi Square Distribution
17. Chi Square A. Chi Square Distribution B. One-Way Tables C. Contingency Tables D. Exercises Chi Square is a distribution that has proven to be particularly useful in statistics. The first section describes
More informationCHAPTER 1 THE CERTIFIED QUALITY ENGINEER EXAM. 1.0 The Exam. 2.0 Suggestions for Study. 3.0 CQE Examination Content. Where shall I begin your majesty?
QReview 1 CHAPTER 1 THE CERTIFIED QUALITY ENGINEER EXAM 1.0 The Exam 2.0 Suggestions for Study 3.0 CQE Examination Content Where shall I begin your majesty? The White Rabbit Begin at the beginning, and
More informationComparing Two Groups. Standard Error of ȳ 1 ȳ 2. Setting. Two Independent Samples
Comparing Two Groups Chapter 7 describes two ways to compare two populations on the basis of independent samples: a confidence interval for the difference in population means and a hypothesis test. The
More informationCourse Syllabus MATH 110 Introduction to Statistics 3 credits
Course Syllabus MATH 110 Introduction to Statistics 3 credits Prerequisites: Algebra proficiency is required, as demonstrated by successful completion of high school algebra, by completion of a college
More information