a homework of applied statistics and probability for engineer

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timer Asked: Oct 15th, 2018
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this homework assignment is 20 point, you need get 85% at least. only six questions. pretty easy to do. if you need book, just send message to me.

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ISE 201 – Fall 2018 Chapter 6 Assignment 4 Total points: 20 Instructions: • Due date: 10/18 at the start of class. • Do not email the assignment to me. • You may work in groups of 2 or individually. Each group submits ONE assignment for grading. • Be concise in your explanations and in your own words. No more than 2 sentences. • Include all graphs/tables in your submission. • A copy of all questions from the textbook have been added to canvas. If you are using an older edition of the textbook, compare the questions from the old and latest editions. Problem 1: USE CALCULATOR/FORMULA ONLY. (2 points) In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes at 34 kV. The times, in minutes, are as follows: 0.19, 0.78, 0.96, 1.31, 2.78, 3.16, 4.15, 4.67, 4.85, 6.50, 7.35, 8.01, 8.27, 12.06, 31.75, 32.52, 33.91, 36.71, and 72.89. Complete the following table: Mean Median Mode Standard Deviation Problem 2: USE CALCULATOR/FORMULA ONLY. (2 points) There are four gorillas in the LA zoo, ages 7, 10, 15 and 21. The mean and standard deviation of the age of the gorillas at the LA zoo are Mean Standard Deviation ISE 130 – Fall 2018 Problems 3 to 6: Use Minitab for the following problems. Data for the following problems are provided in an Excel spreadsheet online. Problem 3 (3 points) An article in the Journal of Physiology [“Response of Rat Muscle to Acute Resistance Exercise Defined by Transcriptional and Translational Profiling” (2002, Vol. 545, pp. 27–41)] studied gene expression as a function of resistance exercise. Expression data (measures of gene activity) from one gene are shown in the following table. One group of rats was exercised for six hours while the other received no exercise. a) Compute the sample mean and standard deviation of the exercise and no-exercise groups separately. b) Construct a dot diagram for the exercise and no-exercise groups separately. Comment on any differences for the groups. (Data provided in spreadsheet) Problem 4 The net energy consumption (in billions of kilowatthours) for countries in Asia in 2003 was as recorded (source: U.S. Department of Energy Web site, www.eia.doe.gov/emeu). (data in spreadsheet) a) Construct a stem-and-leaf diagram for these data and comment on any important features that you notice. (1 point) b) What conclusions can you draw from your plots in parts a and b? (1 point) Problem 5: In the 2000 Sydney Olympics, a special program initiated by IOC president Juan Antonio Samaranch allowed developing countries to send athletes to the Olympics without the usual qualifying procedure. The spreadsheet provides the 71 times for the first round of the 100 meter men’s swim (in seconds). a) Use Minitab to complete the following table (2 points) Mean Median Variance Standard Deviation Range b) Construct a box plot of the data. Are there outliers in the data? If so, explain. (1 point) c) If there are outliers in the original data, repeat (a) and (b) for the data without the extreme outlier and comment. (2 points) d) Compare the distribution of the data with and without the extreme outlier. (1 point) e) Construct a normal probability plot of the data. Are the data normally distributed? Explain. (1 point) ISE 130 – Fall 2018 Problem 6 An important quality characteristic of water is the concentration of suspended solid material. Following are 60 measurements on suspended solids from a certain lake. Construct a stem-andleaf diagram for these data and comment on any important features that you notice. a) Provide a summary table (descriptive statistics) of the data in the spreadsheet. (1 point) b) Construct the following plots: (2 point) i) Stem and leaf plot ii) Histogram iii) Box plot iv) Normal distribution plot c) What conclusions do you draw from the above plot? (1 point) Exercise No Exercise 425.313 485.396 223.306 159.471 388.793 478.314 139.262 245.782 212.565 236.212 324.024 252.773 208.475 406.921 286.484 335.209 244.242 408.099 157.743 436.37 Country Afghanistan Australia Bangladesh Burma China Hong Kong India Indonesia Japan Korea, North Korea, South Laos Malaysia Mongolia Nepal New Zealand Pakistan Philippines Singapore Sri Lanka Taiwan Thailand Vietnam Asia & Oceania Kilowatts 1.04 200.66 16.2 6.88 1,671.23 38.43 519.04 101.8 946.27 17.43 303.33 3.3 73.63 2.91 2.3 37.03 71.54 44.48 30.89 6.8 154.34 107.34 36.92 4,403.92 Problem5 60.39 49.93 53.4 51.82 50.46 51.34 50.28 50.19 52.14 50.56 52.72 50.95 49.74 49.16 52.57 52.53 52.09 52.4 49.75 54.06 53.5 50.63 51.93 51.62 52.58 53.55 51.07 49.76 49.73 50.9 59.26 49.29 52.78 112.72 49.79 49.83 52.43 51.28 52.22 49.76 49.7 52.9 50.19 54.33 62.45 51.93 52.24 52.82 50.96 48.64 51.11 50.87 52.18 54.12 50.49 49.84 52.91 52.52 50.32 51.52 52 52.85 52.24 49.45 51.28 49.09 58.79 49.74 49.32 50.62 49.45 Problem6 42.4 54.3 56.3 61.4 42.6 61.4 65.7 54 43.3 64 77.4 73.1 29.8 73.1 57.4 64.2 54.7 77.3 58.7 81.3 45.3 72.6 57.1 48.5 52.1 59.9 80.1 72.5 77.3 89.8 55.8 56.9 49.7 46.1 39.3 50.7 57 62.2 42.8 53.1 76.4 52 68.7 69.9 42.4 56.1 59.3 59.6 67.3 66.9 59.6 67.2 51.1 66.1 67.3 59 65.8 70.7 73.8 31.6 ...
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