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1. (75%)A random sample of BMI from college students in UPW were collected. Answered questions based on the given data: 34 26 23 28 38 33 25 28 25 (a) Find sample size. (b) Find sample median. (c) Find sample mean. (d) Find sample standard deviation (e) Find IQR. (f) Construct a box plot. (g) Mention a reason that box plot is useful (h) What aspect of the data are both the sample standard deviation and IQR measuring? List an advantage and disadvantage of each. (i) If each person's BMI in the sample increase the same amount, 6, how the median and IQR will change? N 2. (25%) A brand of cars, think about BMW if you want, has a normal distribution for the lifetime of lasting time of cars. The average lifetime is 15 years with a standard deviation of 2.1 years. (a) If you bought one such car today, what is the chance that your car will last only up to 12 years? (b) What is the proportion of cars that will last between 11 and 17 years? (c) (Bonus) If the manufacturer want to offer a warrantee that is as attractive as possible and at the same time they don't want to refund more than 1% of customers, how long the warrantee should be