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Q AutoSave . OFF Decatholon2016Rio (1) Question 3- Simulation Study Page Layout Formulas View Tell me Share Comments Home Insert Draw Part a. Calibri (Body) E General Conditional Formatting v 3 Insert v Smith and Wells (2006) conducted a simulation study to analyse sampling distributions of the mean from Format as Table DX Delete Ideas realistic non-normal distributions for a range of sample sizes in order to determine when the distribution Paste $ ~ % " Cell Styles v Format X vi Find & Filter Select of the sample mean is approximately normal. Their findings suggest that as the skewness and kurtosis of * Possible Data Loss Some features might be lost if you save this workbook in the comma-delimited (.csv) format. To preserve these features, save it in an Excel file format. Save As... a distribution increase, the Central Limit Theorem (CLT) will need sample sizes of up to 300 to provide accurate inference. By generating different random samples n = 50, 100, 200, 400, 1000 from Gamma (or A1 $ x v fx Country Q Beta) distributions with skewness and kurtosis greater than 2, show that their findings are true. M IAthlete Track100m LongJump Shotput HighJump Track400m Hurdles110n Discusthrow PoleVault Javelinthrow Track1500m 2 GER ABELE Arthu 890 807 785 860 959 760 760 800 60 Part b. AUZEIL Basti 815 845 The Men's decathlon competition at the Summer Olympic Games Rio 2016 in Rio de Janeiro, Brazil, was BOURRADA 917 940 715 896 910 955 713 790 836 849 4 AL held 17 August to 19 August 2016. It is usually held over two days. The decathlon consists of ten track and 5 RSA COERTZEN V 834 809 728 731 902 953 769 8:80 697 735 912 930 705 925 626 849 765 722 field events, with a points system that awards higher scores for better results in each of the ten components. BRA DE ARAUJO AUT DISTELBERG 897 893 692 925 900 936 642 880 616 731 The athletes all compete in one competition with no elimination rounds. The track events are 100 metres, DUDAS Miha 899 742 813 1005 1000 777 972 789 769 400 metres, 110 metres Hurdles and 1500 metres. The field events were Long Jump, Shot Put, High Jump, EATON Asht 1045 773 868 855 875 760 741 Discus Throw, Pole Vault and Javelin Throw. The decathlon always starts and ends with a running event. 10 GR FELIX Kurt 876 915 776 813 876 942 671 760 809 649 HELCELET Ad 847 796 837 749 862 716 12 GER KAZMIREK Ki 910 741 896 971 896 731 910 807 The file Decatholon2016Rio.csv contains the above data. Do the principal component analysis on the raw 982 736 13 FRA MAYER Kevin 903 960 840 852 836 972 804 1035 814 774 data. NAKAMURA 721 731 562 607 823 15 EST SALURI Karl 901 818 745 602 725 760 536 684 . Compute the proportion of explained variance for the PCA decomposition. 16 CUB SUAREZ Leoi 814 858 847 922 785 868 800 982 902 676 913 880 608 756 872 902 810 925 910 798 . Extract out the first two principal components for plotting. TAIWO Jerer 18 ESP TONNESEN 791 893 813 778 851 972 740 641 825 709 869 746 634 20 JPN USHIRO Keis 795 847 774 630 737 925 765 839 880 838 641 21 BEL VAN DER PL 808 975 657 848 1035 769 717 22 GRN 762 1029 819 791 651 Question 3 requires computation and simulation using numerical software. It is required to use the R language 23 CAN WARNER Da 1023 977 778 24 POL WIESIOLEK 888 750 708 739 839 835 760 786 666 to compute these quantities. 972 688 662 25 USA ZIEMEK Zach You may discuss the assignment in the early stages with your fellow students. However, the assignment 26 submitted should be your own individual work. 27 28 29 Decatholon2016Rio (1) +