Applied Business Statistics BUS 5103 Fall 2006 Instructor: Dr. Abdulhamid Sukar Office BUS 401 Office Hours M-R 10:00-11 TR 12:-1:00 Telephone 581 2845 E-mail abduls@cameron.edu Textbook: Bowman, Bruce and Richard T.O’Connel, Business Statistics in Practice Fourth Edition, Irwin Publishers, 2007. MINITAB Statistical Software, Student Version. John Wiley and Sons, INC.; 1995 Course Description: This course includes a discussion of probability rules, descriptive statistics, and inferential statistics concepts. Draws upon real world cases to demonstrate the application of probability and descriptive statistics for making statistical inference in business and economics. Course Objective: This course will enable students to: 1. Understand the concepts of statistical summary measures, probability, random Variables and their distribution, estimation and hypothesis testing, correlation and regression analysis. 2. Understand the use of computers in statistical calculations 3. Collect analyzes and interprets business and economic data relevant for managerial decision making. 4. Apply standard statistical inference procedures, and draw conclusions from such analysis. 5. Report statistical results clearly and concisely. Grading distribution Project Exam I Exam II Final Exam 25% 25% 25% 25% Week Course Outline Topic 1. An Introduction to Business Statistics 2. Descriptive Statistics I 3. Probability 4. Discrete Random Variables 5. Continuous Random Variables 6. Sampling distribution II 7. Confidence Interval 8. Hypothesis Testing 9. Statistical Inference Based on Two Samples III 11. Simple Linear Regression 12. Multiple Regression IV Final Exam Reading Assignment All Sections All Sections Sections 2.1-2.8 Problems: 2.15, 2.19, 2.33, 2.36, 2.4,2.5 All ssections Problems: 3.2,3.4, 3.7,3.9,3.11,3.13,3.18,3.20,3.21,3 .24,3.25,3.25,3.27, 3.30, Section All sections Problems:4.1,4.2,4.3,4.8,4.9,4.10 ,4.12,4.13,4.15,4.24, 4.25,4.33 Section 5.1 through 5.4 Problems: 5.20,5.23a,c,e,5.24a,c,e,i,5.25a,c, d,f, 5.26a,c,d,e,g ,5.28b,c 5.29,5.36,5.40 Section 6.1 through 6.2 Problems: 6.2,6.5 6.7a,c,d,6.8,6,9a,c,d,6.10,6.11,6.1 2,6.14,6.16,6.19,6.21,6.22,6.23,6. 27,6.28,6.31 Section 7.1 through 7.4 Problems: 7.3,7.4a,b,c 7.5a,b,c,7.6,7.7a,b,7.8a,b,7.9,7.13 ,7.16a,b,7.17a,b.7.19a,b,7.20,7.28 ,7.29,7.36a,b,c7.37a,b,7.39,7.42,7 .45,7.50. Section 8.1 through 8.5 Problems: 8.4,8.8,8.16,8.18,8.22,8.24,8.25,8 .26,8.28,8.30,8.34,8.36,8.40,8.46, 8.48,8.54,8.58,8.60,8.68,8.70,8.7 2,8.74 Section 9.1 through 9.4, Problems:9.1a,c,e,9.2a,c,e,g,9.5, 9.6,9.8,9.10,9.16,9.209.22,9.249. 30,9.319.34,9.38,9.40,9.42,9.44, Section 11.1-11.8 11.19,11.20,11.22,11.23,11.26,11 .2811.34,11.40,11.44,11.4711.48 11.54,11.61,11.6611.68 Section 12.1-12.7,12.10-12.11 12.1-12.6, 12.12, 12.13, 12.16, 12.17,12.18,12.20,12.22,1.27,12. 43,12.45 Project Assignment You are just hired by the Department of Education as a junior research officer. Your job is to help finish a report comparing states that require competency test for graduation from high school versus those that don’t. Given the data set pertaining to various characteristics of these states. Write and submit report no more than 10 pages in length for the questions listed below. Attach all tables and charts in an appendix. The data set is provides separately in an excel file. You can access the data file from the course web page in blackboard. Definition: SAT Average combined verbal/math scores of Scholastic Assessment Test during 1994-95 school years. EXPEND current expenditure for public elementary and secondary education for the 1995-96 school years, in billions of dollars. TAKERS Percentage of 1995-95 school year graduates who took the SAT ENROLL Total enrollment in public elementary and secondary school in the United States; fall 1995 figure in thousands of students. TEACHEERS Total number of public elementary and secondary teachers in the United States; fall 1995 figures in thousands of full time equivalent RATIO Student-to-teacher ratio in the United States, fall 1995. Calculated as ENROLL/TEACHERS SALARY Estimated average annual salary of teachers in thousands of dollars. D Dummy variable: 1= require competency test; 0 = do not require competency test. a. Obtain descriptive statistics comparing the following variables in competency test required versus not required states. (1) SAT (2) SALARY (3) RATIO (4) EXPEND (5) TAKERS (6) ENROLL, (7) TEACHERS. Analyze your findings. b. Form a separate contingency table for type state (competency test required versus not required) and whether SAT score exceeds 1000. c. Determine if there is significant difference in the average SAT scores based on type of state (competency test required versus not required). d. Determine if there is significant difference in average teachers salary based on type of state. e. Determine if there is significant difference in student-teacher ratio based on type of states. f. Determine if there is significant difference in EXPEND/ENROLL ratio by type of state. g. Determine if there is significant difference in SALARY/EXPEND ratio by type of state. Note: When describing the results in parts (d) through (h), clearly specify all hypothesis, selected level of significance. 1. Develop a regression model that would enable a prediction of SAT score. i. What factors appear to influence SAT scores of high school students? ii. Does it appear that the level of financial resources committed to schools in the U.S. influence educational success? If not what does