8:57 EV4023 Final Assignment W22.pdf . . . Module 2 5. A bag contains 45 marbles. 11 red, 13 blue, 7 green, 8 white, 4 black, and 4 teal. a. What is the probability that you will randomly select a white marble from the bag? b. What is the probability that you will randomly select a red, green, or teal marble from the bag? C. What is the probability that you will randomly select two red marbles in a row, without replacement? 6. You are given a standard deck of cards. a. What is the probability that you will draw a spade from a standard deck of cards? b. What is the probability that you will draw either a club or a number from 8-10? c. What is the probability that you will draw an ace, followed by a 4, followed by a face card, without replacement? 7. How many different ways can you rearrange the letters in the word "bookkeeper"? 8. 15 different runners are competing in a race. How many different arrangements of first, second, and third place finishes are possible? 9. A class of 24 students is going to be divided into groups of 6. How many different possible groups can be formed? Module 3 10. Find the equation of a line that passes through the points (-1, 3) and (10, 24). 11. Find the equation of a line that passes through the (6, 4) and whose slope is perpendicular to the line 2y = 6x - 10 12. Listed below are the number of internet users per 100 people and number of scientific award winners per 10 million people for different countries. Construct a scatterplot and calculate the linear regression equation using Internet Users as the x-variable and the Award Winners as the y-variable. Use the regression equation to estimate the total number of award winners per 10 million people if given 62.4 internet users per 100 people. Internet Users 81.1 80.4 57.0 68.2 76.4 37.9 Award Winners 5.5 8.7 3.4 1.8 10.5 0.1 EV4023 Final Assignment W22.pdf EV4023 Final Assignment This is yourfinal cumulative assignment. You have from Monday, April 18th to Friday, April 22"d to complete this assignment. This assignment covers material from the entire semester. Make sure that you include the correct units, the correct significant digits, and any diagrams that you think may be helpful. Module 1 1. Here are the annual number of deaths from tornados in the US for an 11-year period: Numberofdeaths:53 39 39 33 69 30 25 67 130 94 40 Find the following calculations. Show all of your work, and round your final answers to 1 decimal place. Mean Median Mode Range Variance Standard Deviation Wmapo'sn 2. Using the number of deaths from tornados in the US from the previous question, calculate the z- . . . X- score for each IndIVIdual measurement. ( = T\") 3. The lengths of ten bugs (in millimeters) are given below. 98 84 87 91 81 78 83 85 92 84 Use D'Agostino's D-test to determine whether this sample comes from a normal population. Use a 5% significance level. (Table found at the end ofthe assignment) 4. The concentration of an analyte in water (ppm) is measured in 2 distribution systems. Use the Mann-Whitney test to detect if there is any difference between the concentrations of the analyte in these 2 distribution systems. System A: 4.5 4.8 3.7 3.1 5.1 4.6 5.4 5.6 System B: 3.2 4.0 4.5 4.4 3.5 2.9 2.7 Module 2 5. A bag contains 45 marbles. 11 red, 13 blue, 7 green, 8 white, 4 black, and 4 teal. a. What is the proWhite marble from the bag? 8:57 EV4023 Final Assignment W22.pdf . . . 13. The data below shows the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the predicted weight of a bear with a chest size of 48 inches. Chest Size (inches) 36 56 50 39 49 42 Weight (pounds) 296 570 501 353 487 385 TABLE B.22 CRITICAL VALUES OF D'AGOSTINO'S D FOR NORMALITY TESTING at = 0.20 0.10 0.05 0.02 0.01 10 0.2632, 0.2835 0.2573, 0.2843 0,2513, 0.2849 0.2436, 0.2855 0.2379, 0.2857 12 0.2653, 0.2841 0.2598, 0.2849 0.2544, 0.2854 0.2473, 0.2859 0.2420, 0.2862 14 0.2669, 0.2846 0.2618, 0.2853 0.2568, 0.2858 0.2503, 0.2862 0.2455, 0.2865 16 0.2681, 0.2848 0.2634, 0.2855 0.2587, 0.2860 0.2527, 0.2865 0.2482, 0.2867 0.2690, 0.2850 0.2646, 0.2853 0.2603, 0.2862 0.2547, 0.2866 0.2505, 0.2868 0.2699, 0.2852 0.2657, 0.2857 0.2617, 0.2863 0.2564, 0.2867 0.2525, 0.2869 0.2705, 0.2853 0.2670, 0.2859 0.2629. 0.2864 0.2579, 0.2869 0.2542, 0.2870 0.2711, 0.2853 0.2675, 0.2860 Q.2638 0.3865 0.2591, 0.2870 0.2557, 0.2871 0.2717, 0.2854 0.2682, 0.2861 0.2647 0.2866 0,2603, 0.2870 0.2570, 0.2872 0.2721, 0.2854 0.2688, 0.2861 0.2655, 0.2866 0.2612, 0.2870 0.2581, 0.2873 0.2725, 0.2854 0.2693, 0.2861 0.2662, 0.2866 0.2622, 0.2871 0.2592, 0.2872 0.2729, 0.2854 0.2698, 0.2862 0.2668, 0,2867 0.2630, 0.2871 0.2600, 0,2873 0.2732, 0.2854 0.2703, 0.2862 0.2674, 0.2867 0.2636, 0.2871 0.2609. 0.2873 0.2735, 0.2854 0.2707, 0.2862 0.2679, 0.2867 0.2643, 0.2871 0.2617, 0.2873 0.2738, 0.2854 0.2710, 0.2862 0.2683, 0.2867 0.2649, 0.2871 0.2623, 0.2873 0.2740, 0.2854 0.2714, 0.2862 0.2688, 0.2867 0.2655, 0.2871 0.2630, 0.2874 0.2743, 0.2854 0.2717, 0.2861 0.2691, 0.2867 0.2659, 0,2871 0.2636, 0.2874 0.2745, 0.2854 0.2720, 0.2861 0.2695, 0.2867 0.2664, 0.2871 0.2641, 0.2874 0.2747, 0.2854 0.2722, 0,2861 0.2698, 0.2866 0.2668, 0.2871 0.2646, 0.2874 0.2749, 0.2854 0.2725, 0.2861 0.2702, 0.2866 0.2672, 0.2871 0.2651, 0.2874 30 0.2751, 0,2853 0,2727, 0.2861 0.2705, 0.2866 0.2676, 0.2871 0.2655, 0.2874 0.2757, 0.2852 0.2737, 0.2860 0.2717, 0.2865 0.2692, 0.2870 0.2673, 0.2873 70 0.2763, 0.2851 0.2744, 0.2859 0.2726, 0.2864 0.2708, 0.2869 0.2687, 0.2872 80 0.2758, 0.2850 0.2750, 0.2857 0.2734, 0.2863 0.2713, 0.2868 0.2698, 0.2871 90 0.2771, 0.2849 0.2755, 0.2856 0.2740, 0.2862 0.2721, 0.2866 0.2707, 0.2870 100 0.2774, 0.2849 0.2759, 0.2855 0.2745, 0.2860 0.2727, 0.2865 0.2714, 0.2869