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7. Sanitation inspection of cruise ships. Refer to the data on sanitation levels of cruise ships, Exercise 2.17 (p. 36). a. Use the box plot method to detect any outliers in the data. b. Use the z-score method to detect any outliers in the data. BBALL Resonance Frequency Resonance Frequency 979 13 4334 1572 14 4631 2113 15 4711 2122 16 4993 2659 17 5130 2795 18 5210 7 3181 19 5214 8 3431 20 5633 9 3638 21 5779 10 3694 22 5836 11 4038 23 6259 12 4203 24 6339 Source: Russell, D.A. "Basketballs as spherical acoustic cavities", American Journal of Physics, Vol. 48, No. 6. June 2010. (Table L.) No need to check Exercise 2.17 (p. 36). I have already attached the data needed.3. Annual survey of computer crimes. Refer to the 2010 CS/ 4. Highest paid engineers. Recall (from Exercise 2.26) that Computer Crime and Security Survey, Exercise 2.13 the mean base salary of a software engineering manager is (p. 35). Recall that the percentage of monetary losses at- $126,417 (Electronic Design's 2012 Engineering Salary tributable to malicious insider actions was recorded for Survey). Assume (as in Exercise 2.38) that the distribution 144 firms. The histogram for the data is reproduced below. of base salaries for all software engineers is mound-shaped a. Based on the histogram, what (approximate) monetary and symmetric with a standard deviation of $15,000. Use loss value represents the 30th percentile? your understanding of the Empirical Rule to find: b. Based on the histogram, what (approximate) monetary a. the 84th percentile. loss value represents the 95th percentile? b. the 2.5th percentile. 0.4 C. the z-score for a salary of $100,000. 0.35 - For reference only: 2.26 Highest paid engineers. According to Electronic Design's 0.3 - 2012 Engineering Salary Survey, the mean base salary of a software engineering manager is $126,417-the highest 0.25 mean among all types of engineers. In contrast, a manu- facturing/production engineer has a mean base salary of Relative Frequency 0.2 $92,360. Assume these values are accurate and represent population means. Determine whether the following state- 0.15 - ments are true or false a. All software engineering managers earn a base salary 0.1 of $126,417. b. Half of all manufacturing/production engineers earn a 0.05 base salary less than $92,360. C. A randomly selected software engineering manager will always earn more in base salary than a randomly 20 40 60 80 100 selected manufacturing/production engineer. Monetary Loss (%) Refer to Problem number 3 in Assignment 2 - Midterm instead of Exercise 2.13 (p. 35)1. Do social robots walk or roll? Refer to the International 2. Ammonia in car exhaust. Refer to the Environmental Sci- Conference on Social Robotics (Vol. 6414, 2010) study on ence & Technology (Sept. 1, 2000) study on the ammonia the current trend in the design of social robots, Exercise levels near the exit ramp of a San Francisco highway tun- 2.1 (p. 26). Recall that in a random sample of social robots nel, Exercise 2.30 (p. 43). The data (in parts per million) obtained through a web search, 28 were built with wheels. for 8 days during afternoon drive-time are reproduced in The number of wheels on each of the 28 robots is listed in the table. the accompanying table. AMMONIA a. Generate a histogram for the sample data set. Is the dis- 1.53 1.50 1.37 1.51 1.55 1.42 1.41 1.48 tribution of number of wheels mound-shaped and sym- metric? a. Find the range of the ammonia levels. b. Find the mean and standard deviation for the sample b. Find the variance of the ammonia levels. data set. C. Find the standard deviation of the ammonia levels. C. Form the interval, y + 2s. d. Suppose the standard deviation of the daily ammonia d. According to Chebychev's Rule, what proportion of levels during morning drive-time at the exit ramp is 1.45 ppm. Which time, morning or afternoon drive- sample observations will fall within the interval, part c? time, has more variable ammonia levels? e. According to the Empirical Rule, what proportion of sample observations will fall within the interval, part c? No need to refer in Exercise 2.30 (p. 43). f. Determine the actual proportion of sample observations I have already attached the data needed. that fall within the interval, part c. Even though the his- togram, part a, is not perfectly symmetric, does the Em- pirical Rule provide a good estimate of the proportion? ROBOTS 4 3 3 6 4 2 2 2 1 3 3 3 3 4 43 2 8 2 2 3 4 3 3 4 2 Source: Chew, S., et al. "Do social robots walk or roll?". International Conference on Social Robotics, Vol. 6414. 2010 (adapted from Figure 2). Refer to Problem number 1 in Assignment 2 - Midterm instead of Exercise 2.1 (p. 26)5. Mineral flotation in water study. Refer to the Minerals 6. Barium content of clinkers. Paving bricks-called Engineering (Vol. 46-47, 2013) study of the impact of cal- clinkers-were examined for trace elements in order to cium and gypsum on the flotation properties of silica in determine the origin (e.g., factory) of the clinker. water, Exercises 2.23. 2.34 and 2.40 (p. 50). Recall that zeta (Advances in Cement Research, Jan. 2004.) The barium potential (mV) was determined for each of 50 liquid solu- content (mg/kg) for each in a sample of 200 clinkers tions prepared without calcium/gypsum and for 50 liquid was measured, yielding the following summary statistics: solutions prepared with calcium/gypsum. Q1. = 115, m = 170, and Qu = 260. a. For solutions prepared without calcium/gypsum. find the z-score for a zeta potential measurement of -9.0. Find the interquartile range, IQR. b. For solutions prepared with calcium/gypsum, find the Find the endpoints of the inner fence in a box plot for Z-score for a zeta potential measurement of -9.0. barium content. SILICA Without calcium/gypsum -47.1 -53.0 -50.8 -54.4 -57.4 -49.2 -51.5 -50.2 -46.4 -49.7 -53.8 -53.8 -53.5 -52.2 -49.9 -51.8 -53.7 -54.8 -54.5 -53.3 -50.6 -52.9 -51.2 -54.5 -49.7 -50.2 -53.2 -52.9 -52.8 -52.1 -50.2 -50.8 -56.1 -51.0 -55.6 -50.3 -57.6 -50.1 -54.2 -50.7 -55.7 -55.0 -47.4 -47.5 -52.8 -50.6 -55.6 -53.2 -52.3 -45.7 With calcium/gypsum -9.2 -11.6 -10.6 -8.0 -10.9 -10.0 -11.0 -10.7 -13.1 -11.5 -11.3 -9.9 -11.8 -12.6 -8.9 -13.1 -10.7 -12.1 -11.2 -10.9 -9.1 -12.1 -6.8 -11.5 -10.4 -11.5 -12.1 -11.3 -10,7 -12.4 -11.5 -11.0 -7.1 -12.4 -11.4 -9.9 -8.6 -13.6 -10,1 -11.3 -13.0 -11.9 -8.6 -11.3 -13.0 -12.2 -11.3 -10.5 -8.8 -13.4 No need to check Exercises 2.23, 2.34 and 2.40 (p. 50). I have already attached the data needed