Highest paid engineers. Recall (from Exercise 2.26) that the mean base salary of a software engineering manager is $126,417 (Electronic Design '3 20l2 Engineering Salary Survey). Assume that the distribution of base salaries for all software engineers is mound-shaped and symmetric with a standard deviation of $l5,000. Use your understanding of the Empirical Rule to nd: a. the 84th percentile. b. the 2.5th percentile. c. the z-score for a salary of $100,000. For reference only: Highest paid engineers. According to Electmnic Design 's 2012 Engineering Salary Survey, the mean base salary of a software engineering manager is $126,4l7the highest mean among all types of engineers. In contrast, a manu- facturing/production engineer has a mean base salary of $92,360. Assume these values are accurate and represent population means. Determine whether the following state- ments are true or false. . All software engineering managers earn a base salary of $l26,4l7. . Half of all manufacturing/production engineers earn a base salary less than $92,360. . A randomly selected software engineering manager will always earn more in base salary than a randomly selected manufacturing/production engineer. #4 Sanitation inspection of cruise ships. Refer to the data on sanitation levels of cruise ships 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 IN 3 2113 15 4711 4 2122 16 4993 2659 17 5130 2795 18 5210 3181 19 5214 3431 20 5633 3638 21 5779 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 I.)#5 Mineral flotation in water study. Refer to the Minerals Engineering (Vol. 46-47, 2013) study of the impact of cal- cium and gypsum on the flotation properties of silica in water. . Recall that zeta potential (mV) was determined for each of 50 liquid solu- tions prepared without calcium/gypsum and for 50 liquid solutions prepared with calcium/gypsum. a. For solutions prepared without calcium/gypsum, find the z-score for a zeta potential measurement of -9.0. b. For solutions prepared with calcium/gypsum, find the z-score for a zeta potential measurement of -9.0. 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 -13.4Ammonia in car exhaust. Refer to the Environmental Sci- ence & Technology (Sept. 1, 2000) study on the ammonia levels near the exit ramp of a San Francisco highway tun- nel, ., The data (in parts per million) for 8 days during afternoon drive-time are reproduced in the table. a AMMONIA 1.53 1.50 1.37 1.51 1.55 1.42 1.41 1.48 . Find the range of the ammonia levels. . Find the variance of the ammonia levels. . Find the standard deviation of the ammonia levels. . Suppose the standard deviation of the daily ammonia levels during morning drive-time at the exit ramp is 1.45 ppm. Which time, morning or afternoon drive- time, has more variable ammonia levels? Barium content of clinkers. Paving brickscalled clinkerswere examined for trace elements in order to determine the origin (e.g., factory) of the clinker. (Advances in Cement Research, Jan. 2004.) The barium content (mg/kg) for each in a sample of 200 clinkers was measured, yielding the following summary statistics: QL =115,m =170,andQU = 260. Find the interquartile range, IQR. Find the endpoints of the inner fence in a box plot for barium content