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for Q2) the values of A,B,C,D from ID is 49619 First replace any zero in your student ID with number of your section. For example,

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for Q2) the values of A,B,C,D from ID is 49619

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First replace any zero in your student ID with number of your section. For example, if your student ID is 34059, and you are in section O2 then replace 0 with 2, and the ID number will change to 34259. Then, let A be the first and the second digits of this number; B be the second and the third digits of this number; C be the third and the fourth digits of this number; D be the fourth and the fifth digits of this number. For instance, in the above example A=34; B=42; C=25; D=59. Write down A to D based on your ID: A = B = C = D = Important note: If you do not solve this assessment with the numbers taken from your student ID as explained above, all calculations and answers are considered to be wrong. Question 1 (Population, Sample and Study method): The General Directorate of Traffic in Kuwait hypothesis that 15% of all busses in Kuwait do not have required insurance. To test for the hypothesis, a random sample of 200 busses in Kuwait were randomly stopped by police and checked for required insurance. Answer the following questions: a) Explain in detail, what the population is in this example? [5 points] b) What is the variable of interest, and what type of variable is it? [10 points] c) Describe in detail the sample. [5 points](1) Which basic method of data collection used in this study and why? [5 points] Question 2: Descriptive Statistics: The following data is number of days between the first dose and the second dose of COVID19 vaccination of 27 individuals in Kuwait. Replace A, B, C and D with your ID related values as explained above. This question must be done by hand calculation and not using Minitab or any other computer software. 47 47 44 45 46 55 55 47 58 50 65 56 57 B-8 A B C 64 75 A-9 C+40 D+50 D A+20 B+30 D-6 C-7 a) Calculate the 5 numbers summary, show your work [10 points]b) Calculate IQR for this sample. [5 points] c) Construct a complete box-plot for this data. [15 points] Probability and Statistics in Engineering I, IE230 Page | 3 d) Discuss in detail whether there are outliers in this data. [10 points]1:) Calculate the mean and the mode of the above sample. 1) Calculate the variance and the standard deviation of the above sample. [10 points] [15 points] g) Based on your calculation explain whether your sample data is symmetric, skewed positively or skewed negatively. [10 points]

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