IE 3301 Fall 2015 PROJECT PART I Due Monday, November 16 \"Students will complete 2 parts to each of the two projects for the semester. Each part is worth 7.5% of your semester grade. The overall aim of the projects is to allow students to apply some of the important concepts learnt in IE 3301 to the analysis of real world data. The specific objectives are: To sample two data sets from real world occurrences of events To summarize the data statistically To perform statistical tests of hypotheses on the data In each project, you will use real world data of events and analyze them according to the instructions below. You will submit your written work in two parts. The first part is essentially the summary of the data gathered. The second part is the statistical tests of hypotheses. You may consult me in class or during my office hours to ensure the relevance, quality and accuracy of your data. 20% of the grade will be for the quality of your presentation (order, neatness, symbols, etc.) and 80% for accuracy in your statistical analyses. Project 1. GOODNESS OF FIT TEST FOR A NORMAL DISTRIBUTION Part 1: Take a large number of observations (at least 100) for a continuous variable from a population that is suspected to be normally distributed. For example, the body weights of people, the circumferences of oranges, the high temperature of a city for 100 consecutive days, the extension length of rubber bands at the point at which they burst, etc. First submission of report: Cover page: course; name of the project; your name; date Page 1: (i) The definition of your variable (X) (ii) The source of your data (i.e., how you obtained the data) (iii) List the values of the variable, X, in about 10 columns (iv) Compute the mean and standard deviation of X and show your formulas. Page 2: Construct a frequency table for X - about 2/3 page in size. Page 3: Construct a frequency histogram - about 2/3 page in size. Page 4: Determine the quartiles of X and construct a Box plot - about 2/3 page in size. Note: Your reports must be printed. Handwritten reports will be penalized by 20% of the grade. Every sheet should have your name at the top. Do not give a landscape orientation on any page. Type your report using single line spacing with 12 font size (Times Roman). Each section should have a heading stating what the information below it represents. Grades will be deducted for any violation of these instructions. Late submission will be penalized by 25% per day \" . Descriptive statistics count mean sample variance sample standard deviation minimum maximum range price 100 558.32 21,787.15 147.60 148 919 771 1st quartile median 3rd quartile interquartile range mode 457.25 546.50 631.50 174.25 518.00 low extremes low outliers high outliers high extremes -200 0 1 2 0 0 200 400 600 price 800 1000 1200 1400 price bed 148 231 309 331 368 368 375 382 393 400 406 407 409 410 417 418 418 429 434 442 443 443 444 452 455 458 465 467 467 468 468 478 481 483 485 485 487 498 508 511 514 515 518 518 518 522 527 531 531 546 547 552 555 560 566 570 571 571 574 574 575 587 593 594 600 602 603 608 614 617 618 618 620 628 631 633 645 646 661 673 dis 2 2 2 2 3 3 3 3 3 3 2 2 3 2 3 2 4 3 2 3 2 2 2 3 2 4 2 2 2 1 2 3 1 2 1 3 1 2 1 3 4 3 1 1 3 3 2 2 2 3 2 3 2 4 2 3 2 3 2 3 3 3 3 3 2 3 2 3 2 3 2 4 3 4 4 4 3 4 3 2 price floor 14.15 7.62 13.71 12.81 8.69 13.8 12.68 14.15 14.39 14.03 6.39 9.13 9.81 10.12 10.71 9.45 11.69 6.04 13.74 12.66 13.11 6.54 12.01 12.53 2.74 13 11.12 8.43 10.57 3.81 6.61 7.01 9.05 17.15 4.62 5.67 8.01 6.72 10.86 17.2 10.13 11.32 1.49 4.03 14.09 9.82 12.91 8.26 5.86 9.68 2.65 12.48 5.84 11.08 6.77 11.02 11.1 12.4 8.09 7.2 11.84 5.18 10.02 16.23 6.43 16.4 10.29 5.49 1.94 11.43 10.15 17.65 9.7 11.01 16.2 9.73 11.1 14.18 11.34 3.82 71.34 54.25 80.13 62.88 104.76 114.77 57.48 87.05 124.83 92.56 87.07 112.26 75 54.9 87.37 85.69 105.91 101.87 139.29 91.11 82.94 79.82 81.96 120.63 83.76 117.72 117.93 76.13 80.88 93.93 84.52 121.59 46.74 98.97 66.62 76.61 111.54 58.64 79.37 121.5 88.56 88.95 36 95.43 116.67 103.52 105.02 69.31 104.55 147.89 81.59 107 83.68 122.29 101.76 106.38 99.14 104.89 99.46 89.69 121.07 120.62 127.59 110.99 85.08 118.39 93.9 128.67 130.02 121.69 132.27 114.15 119.85 130.85 167.42 107.31 121.74 133.52 130.65 133.27 148 231 309 331 368 368 375 382 393 400 406 407 409 410 417 418 418 429 434 442 443 443 444 452 455 458 465 467 467 468 468 478 481 483 485 485 487 498 508 511 514 515 518 518 518 522 527 531 531 546 547 552 555 560 566 570 571 571 574 574 575 587 593 594 600 602 603 608 614 617 618 618 620 628 631 633 645 646 661 673 682 686 689 692 695 700 731 745 745 759 777 795 811 819 867 870 877 879 907 919 Minimum value Maximum value Range Average standard deviation 148 919 771 558.32 147.6047055175 2 7.644 100.8634 Class 148- to less than 248 248 to less than 348 348 to less than 448 448 to less than 548 548 less than 648 648 to less than 748 748 to less than 848 848 to less than 948 frequency 2 2 19 28 27 11 5 6 Highestt value Frequency 248 2 348 2 448 19 548 28 648 27 748 11 848 5 948 6 More 0 30 25 20 15 Frequency 10 5 0 Frequency Housing prices 682 686 689 692 695 700 731 745 745 759 777 795 811 819 867 870 877 879 907 919 2 3 4 3 3 3 3 2 3 3 3 2 2 1 4 2 4 1 3 4 11.75 9.66 14.04 13.96 12.12 9.42 12.05 7.36 4.34 7.67 11.15 6.34 6.4 5.17 15.09 7.7 14.93 4.48 5.9 9.89 120.3 113.58 101.11 136.53 97.34 144.96 130.01 85.14 117.28 86.89 101.38 155.12 91.34 102.18 107.56 105.63 139.31 102.43 156.21 114.61 Descriptive statistics count mean sample variance sample standard deviation minimum maximum range price 100 558.32 21,787.15 147.60 148 919 771 1st quartile median 3rd quartile interquartile range mode 457.25 546.50 631.50 174.25 518.00 low extremes low outliers high outliers high extremes -200 0 1 2 0 0 200 400 600 price 800 1000 1200 1400 price bed 148 231 309 331 368 368 375 382 393 400 406 407 409 410 417 418 418 429 434 442 443 443 444 452 455 458 465 467 467 468 468 478 481 483 485 485 487 498 508 511 514 515 518 518 518 522 527 531 531 546 547 552 555 560 566 570 571 571 574 574 575 587 593 594 600 602 603 608 614 617 618 618 620 628 631 633 645 646 661 673 dis 2 2 2 2 3 3 3 3 3 3 2 2 3 2 3 2 4 3 2 3 2 2 2 3 2 4 2 2 2 1 2 3 1 2 1 3 1 2 1 3 4 3 1 1 3 3 2 2 2 3 2 3 2 4 2 3 2 3 2 3 3 3 3 3 2 3 2 3 2 3 2 4 3 4 4 4 3 4 3 2 price floor 14.15 7.62 13.71 12.81 8.69 13.8 12.68 14.15 14.39 14.03 6.39 9.13 9.81 10.12 10.71 9.45 11.69 6.04 13.74 12.66 13.11 6.54 12.01 12.53 2.74 13 11.12 8.43 10.57 3.81 6.61 7.01 9.05 17.15 4.62 5.67 8.01 6.72 10.86 17.2 10.13 11.32 1.49 4.03 14.09 9.82 12.91 8.26 5.86 9.68 2.65 12.48 5.84 11.08 6.77 11.02 11.1 12.4 8.09 7.2 11.84 5.18 10.02 16.23 6.43 16.4 10.29 5.49 1.94 11.43 10.15 17.65 9.7 11.01 16.2 9.73 11.1 14.18 11.34 3.82 71.34 54.25 80.13 62.88 104.76 114.77 57.48 87.05 124.83 92.56 87.07 112.26 75 54.9 87.37 85.69 105.91 101.87 139.29 91.11 82.94 79.82 81.96 120.63 83.76 117.72 117.93 76.13 80.88 93.93 84.52 121.59 46.74 98.97 66.62 76.61 111.54 58.64 79.37 121.5 88.56 88.95 36 95.43 116.67 103.52 105.02 69.31 104.55 147.89 81.59 107 83.68 122.29 101.76 106.38 99.14 104.89 99.46 89.69 121.07 120.62 127.59 110.99 85.08 118.39 93.9 128.67 130.02 121.69 132.27 114.15 119.85 130.85 167.42 107.31 121.74 133.52 130.65 133.27 148 231 309 331 368 368 375 382 393 400 406 407 409 410 417 418 418 429 434 442 443 443 444 452 455 458 465 467 467 468 468 478 481 483 485 485 487 498 508 511 514 515 518 518 518 522 527 531 531 546 547 552 555 560 566 570 571 571 574 574 575 587 593 594 600 602 603 608 614 617 618 618 620 628 631 633 645 646 661 673 682 686 689 692 695 700 731 745 745 759 777 795 811 819 867 870 877 879 907 919 Minimum value Maximum value Range Average standard deviation 148 919 771 558.32 147.6047055175 2 7.644 100.8634 Class 148- to less than 248 248 to less than 348 348 to less than 448 448 to less than 548 548 less than 648 648 to less than 748 748 to less than 848 848 to less than 948 frequency 2 2 19 28 27 11 5 6 Highestt value Frequency 248 2 348 2 448 19 548 28 648 27 748 11 848 5 948 6 More 0 30 25 20 15 Frequency 10 5 0 Frequency Housing prices 682 686 689 692 695 700 731 745 745 759 777 795 811 819 867 870 877 879 907 919 2 3 4 3 3 3 3 2 3 3 3 2 2 1 4 2 4 1 3 4 11.75 9.66 14.04 13.96 12.12 9.42 12.05 7.36 4.34 7.67 11.15 6.34 6.4 5.17 15.09 7.7 14.93 4.48 5.9 9.89 120.3 113.58 101.11 136.53 97.34 144.96 130.01 85.14 117.28 86.89 101.38 155.12 91.34 102.18 107.56 105.63 139.31 102.43 156.21 114.61