M125. Homeworks assigned. [Note: "*" means written work.] [ Updated 12/12/2012, 10:10 pm ] ================================================= Math125 : Dr. Leisinger. Fall 2012 semester ================================================= ALL WORK IS TO BE DONE IN THE HW notebook, unless noted below. HW# Date Date Assignment assigned due H0 9/4 9/6 Read math.umb.edu/~aleising/General_Information.txt and follow the directions there. H1 9/4 9/6 Get a hardbound Homework notebook. [immediately] Only the sew-in, 9 3/4" x 7 1/4" 100-page is acceptable. Number the pages of the HW notebook. (both sides!) from 1-200. Set up your index on sides #1, #2, #3, #4 as directed in class. Get a ruler (any kind or length: used for a straight-edge). You can get a ruler from me if you need one. Get a textbook. {by 9/13/2012) see: Textbook.txt in this directory Get a non-graphing scientific calculator. (by 9/18/2012) A good one is Casio fx-260 solar. I believe you can buy it at about $9-$11 if you shop around. H2 9/4 9/6 Take the Inventory Test handed out in class. Do not use a calculator. Do not take more than one hour for this Test. The Inventory Test is not graded. It is just an indication to me about your preparation for M129. Hand in separately from your HW notebook. H3 9/6 9/11 See HW3_Histograms. Full path name: http://www.math.umb.edu/~aleising/M125/ and in that directory: HW3_Histograms This is the first assignment to do in your HW book. Please start it on page 5. Remember to put the HW # on every sheet at the top. On page 5, write: HW 3 pp 41-44 Set C #1-4; Set D #1,2 H4 9/11 9/13 The Standard Deviation. (Chapter 4) This HW is from the textbook. For those who don't have a book yet, I have posted a file, HW4_SD.pdf which contains the pages needed. Concepts: Central measures: average (=arithmetic mean) median (half the data is below, half is above) mode (where the most data occurs) Unimodal and bimodal distributions Center and "spread" rms = root mean square [remember to read the words backward] rmsd = root mean square deviation from the mean SD = standard deviation = rmsd Read ch.4 pp 56-69. (For now, in section 2, don't worry about the difference between cross-sectional and longitudinal). Problems (to be done in your HW composition book): p60-61 set A, #1-7; p65 set B, #1,2,3,4,6; p67 set C, #1-6 H5 9/13 9/18 The Standard Deviation, continued (Chapter 4) Read pp 67-69. Then do these problems in your HW book: * p70 Set D #1,2,3,4,6,8 Read pp 71-72. * p72 Section E #1,2,3,4,5,6,7 H6 9/18 9/20 The Normal Curve. Part (A). Using the table on page A104 in your textbook, carefully make a graph of the Normal Curve. You should use the graph paper plain_horizontal_6.pdf Hold the graph paper with the long edge horizontal. Plot the Normal Curve using Standard Units, and the density scale. (This means the area under the curve should be 1.000 ). On the horizontal "z" axis (along the bottom of the graph), use 1 box = 0.1 unit. The very center of the horizontal axis should be labeled "0.0" On the vertical axis, use 1 box = 0.01 unit. (What is the area of 1 box?) The heights of the graph are read from the Table. Part (B). [Do this part in your HW notebook.] * By counting boxes, calculate the areas as follows: 1. between z=0 and z= 0.5 2. between z=0.5 and z= 1.0 3. between z= -1 and z= 1.0 4. between z= 1 and z= 1.5 5. between z= 1.5 and z= 2.0 6. between z= -2.0 and z= 2.0 7. for the entire curve that you have graphed (ignoring the part of the curve outside of your graph paper. 8. For #1-7 above, find the appropriate area from the Table. Compare these results with the ones you have calculated by counting boxes. H7 9/18 9/20 The Normal Curve [Ch. 5]. Read Ch. 5 pp 78-85. * [In your HW notebook]: p. 82, set A,#1,2; p. 84, set B,#1-5. H8 9/20 9/25 The Normal Curve Approximation to data [Ch. 5 section 3]. Read Ch 5, pp 85-87. * [In your HW notebook]: p 88, set A, #1,2,3. Also, finish up all the old HW. H9 9/25 9/27 Percentiles and Percentile Rank * Read pp 88-92. Then do these in your HW book: 1.Explain the difference between Percentile and Percentile rank. 2.P 89 Set D, #1,2,3,4 3.P 92 Set E, #1,2,3 H10 9/25 9/27 Correlation and Correlation Coefficient * Ch. 8 set B #1,2 * Ch. 8 set D #1 H11 9/27 10/2 Properties of the Correlation Coefficient; SD line; regression There will be a quiz on Tuesday, 10/2 It will cover everything up to this assignment, but will focus on chapters 8 and 9. * Ch. 9 p.143 set A: #2,3,4,5,6,10 * Ch. 9 p.146 set B: #2,3,4 Read Ch.9 section 5, "Association is not Causation". * Ch. 9 p.153 set E: #4,5 H12 10/2 10/4 Review percentiles Study H9 again. (no additional written work) H13 10/2 10/9 Probability Read Chapter 13. * Do Chapter 13, exercise set A and exercise set B. H14 10/9 10/16 Probability [Note: start this; but it's not due until next Tuesday. ] * Do Chapter 13, exercise set C, p229, #1-4 * Do Chapter 13, exercise set D, p232, #3,4,5 * Do Chapter 14, exercise set A, p240, #1,2,3 Read section 14.2 Learn the Addition Rule (section 14-2, boxes p241) * Do Chapter 14, Set B, #1,2,6 H15 10/16 10/18 Binomial Formula Read Ch. 15 sections 1 and 2. Learn and understand how to use: Binomial Formula, Section 2, p259, box. * Ch.15 set A, p258, #1-5; #6 (extra credit) * Ch.15 section 3, p261, #1-10 Expect a short quiz on using the Binomial Formula on 10/18. [10/17: I removed an incorrect line here. Sorry.] H16 10/29 11/1 Design of experiments I.(Note: I'll accept this as late as 11/6) 1. Read chapters 1 and 2. 2. Read the article found in WomenSmokingStudy.pdf, and then: (in HW notebook) * answer the six questions I have appended to the article. H17 10/29 11/6 Design of experiments II 1. Read Walter_Reed_Wiki.pdf 2. Read WalterReed_PoliticsOfParticipation (Typed essay) * 3. Write a 2-paragraph essay. The first paragraph should describe the several experiments on Yellow Fever transmission and the 2 theories (a. transmission by contact with an infected victim or by contact with body fluids from an infected victim) and (b: transmission by mosquito bite) and why some experiments were more valid than others. The second paragraph should discuss the ethics of the experiments. H18 10/30 11/1 SD, Expected Value, SE (Chapter 17) Objective: know how to calculate SE and what it means. Know the law of averages (law of large numbers). Know that as the number of trials grows, the Chance Error grows absolutely, but decreases as a percent error. (In your HW notebook:) * Ch.16 Set A, p277, #1,2,3,4,5. Read Ch. 16 section 6 (Summary) Read Ch.16 Section 4, Making a Box Model (Nevada Roulette) * Ch.16 Set C, p284, #1,2 Learn Ch.17 section 2,boxes p291: chance error; square root law. * Ch.17 Set A, p290, #1; * Ch.17 Set B, p293, #1-5. H19 11/8 11/13 Chance Errors in Sampling (Ch. 20) Read Ch. 20 Ch.20 section 2: EV and SE --> "The expected value for the sample percentage equals the population percentage" --> "The SE for a percentage = (SE for number / sample size) (100%) --> "Multiplying the sample size by the factor K divides the SE for a percentage by the square root of K" * Ch.20 set A: p361 #1-8 * Ch.20 set B: p366 #1-3 Ch.20 Section 4: the Correction Factor --> "When estimating percentages, it is the numerical size of the sample, not the relative size of the sample relative to the population." --> Correction Factor = sqrt( (#tickets - #draws)/ (#tickets - 1) ) * Ch.20 Set C: p370 #1 <<==== important * Ch.20 Section 6: Review Exercises p370#1; p371#1; p372#7 H20 11/8 due 11/13 or 11/15: Sampling error (class problem) Out of one million people, 232,000 are smokers. (Assume you don't know the number of smokers) If you want to estimate the number of smokers to the nearest 2%, what size random sample should you use? H21 11/15 11/20 Chapter 21: Accuracy of Percentages First, review all of the HW for Chapter 20. Review the Correction Factor. Ch. 21: Read the Introduction, and understand the "bootstrap". * Ch 21 section 1, Set A, p 379-380. #1-9 Later (look at these, but they are not due yet): [ key problems in this chapter: p392 #6,p393#12 ] =================================================================== NOTICE: Review materials for the Math 125 final have been posted. Please see: http://www.math.umb.edu/courses/undergraduate/math125/ =================================================================== Short quiz expected on 11/29. Topic: bootstrap, and Confidence Interval. [ See box p378; understand Ch. 21 Introduction, pp 377-378. H22 11/27 11/29 Chapter 21: Accuracy of Percentages * Ch 21 section 2, Confidence Intervals. p383,Set B, #1-4. * Ch 21 section 3, Interpreting a Confidence Interval; Set C, p387 #4,5,6 * Ch 21 Review problems; p392 #6, p393 #12. H23 11/27 12/04 Why was the Gallup Poll wrong? Read GallupPoll_WhatWentWrong.pdf In a short paragraph explain what you think about the article. Think before you write. Do not regurgitate (look it up!) the article. H24 11/27 12/04 Chapter 24: A Model for Measurement Error Read Ch 24 section 1. * Ch 24 section 1, Set A, p444 #1,3,4,5 * Ch 24 section 2, Set B, p449 #2,3,5 Read Ch 24 section 3, "The Gauss Model". Understand the boxes on pp 450,451 of the section. * Ch 24 section 3, Set C, p453 #6. H25 12/4 12/6 Significance Tests Read Ch. 26 Section 2,3 * Ch 26 Set C. #1,2,3. H26 12/4 12/6 Chi-Square test Read Ch 28 Section 1 and 2, pp 523-531 * Ch 28 Set A, #1-5,9,10 H27 12/6 12/8 Approximate a binomial distribution by the normal curve NOTHING TO TURN IN Please skim chapter 18, pp 308-324. Work out Set C p 324 problem # 2. Follow the answer given in the back. The idea is to approximate n-choose-k = (n!)/[k! (n-k)! ] by a piece of the area under the normal curve. ============== Studying for the Final Exam: ================== Review problems for final exam: www.math.umb.edu/courses/undergraduate/math125/m125_2012_ReviewProblems.pdf www.math.umb.edu/courses/undergraduate/math125/m125_2012_ReviewProblems_Solutions.pdf IMPORTANT REVIEW PROBLEMS from the m125_2012_ReviewProblems.pdf: 1,2,3,4c,12,13,16B,17,20,21,24,26B,28,32,35,36 The exam will cover the content of those problems. ============================================================== Sample practice exams: www.math.umb.edu/courses/undergraduate/math125/ etc ============================================================== REVIEW SESSION FOR THE FINAL EXAM: Thursday, December 13, 8:00am-9:00 am; (W1-004) UMB HAS YET TO CONFIRM OUR ROOM. However, we are going to meet in Wheatley 1st floor room 004. If W1-004 is not available, I will post the actual room there. ====================================================== Final exam: Friday, December 14, 3pm-6pm. Snowden Auditorium. Directions to Snowden Auditorium in the Wheatley building. Enter Wheatley at the Ironworker entrance on the first floor. Walk straight past the stairway on your right. Walk past the stairway, then walk to the end of the hall through some sets of double doors. When you arrive at the back elevator, you will see signs to the Snowden Auditorium. BE EARLY! ======================================================