Page 2 of 2 O - ZO 2) The best way to learn about a boxplot is to draw one by-hand. Below is a set of contrived data and steps for finding the values you will need for this boxplot. I encourage you to check your boxplot with your calculator but don't let this be your first step. (17 pts) 20 15 40 40 12 54 35 38 51 81 31 21 27 32 28 39 85 23 48 41 a) Use the 1Var Stats command in your TI-83/84 graphing calculator to find the 5-number summary. b) Calculate the fences for a modified boxplot. (To receive credit, you must write the formulas and the values you used.) c) Are there any outliers? If so, what are they? d) Draw a modified boxplot using an appropriate scale. (Be sure to label your scale as well as the fences, each value from the 5-number summary, and any outliers. Your drawing should be much more specific than what your calculator will give you.) e) What are the best measures for the center and spread of this distribution? Why? 3) Adult male Akitas weigh an average of 115 pounds with a standard deviation of 10.4 pounds. Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds. One dog lover owns an underweight Akita and an underweight Boston Terrier. The Akita weighs 97 pounds, and the Boston Terrier weighs 16 pounds. Calculate the z-score for each dog's weight and then determine which dog is more underweight? (To receive credit, you must write the formula and the values you used.) (5 pts) 4) The ASQ (American Society for Quality) regularly conducts a salary survey of its membership, primarily quality management professionals. A quality control specialist calculated the z-score associated with his own salary and found it was -2.50. Write a complete sentence explaining what this means. (2 pts)