r7 ,7 ' 1' r '-..f x r / u' / Question 2: Descriptive Statistics: The following data 13 number of days BctWecn the rst dose and the second dose ofCOVlD19 vaccination of 27 individuals in Kuwalt 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 Minitah or any other computer software. 1:) Calculate the 5 numbers summary, show your work [10 points] b) Calculate [QR for this sample. [5 points] 1:) Construct a complete box~plot for this data. [15 points] Probability and Statistics in Engineeting I. IE230 Page | 3 / d) Discuss in detail whether there are outliers in this data. e) Calculate the mean and the mode of the above sample. [10 points] 1') Calculate the variance and the standard deviation of the above sample. [15 points] g) Based on your calculation explain whether your sample data is symmetric, skewed positively or skewed negatively. [10 points]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] d) Which basic method of data collection used in this study and why? [5 points]