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Damages at a paper mill [in thousands of dollars} due to oreakzage can be divided according to the product manufactured. Toilet paper HEIFICI tDWE'I S 12 other products {a} Drain.r a Pareto chart. {o} What percent of the loss occurs in making: {1} toilet paper? {2} toilet paper or hand towela? Probes for noninvasive measurement of blood flow must not give off too much energy (milliwatts per square centimeter). A sample of 12 probes yielded the energy values: 9, 10, 6, 7, 9, 7, 9, 6, 8, 5, 10, and 12 Construct a dot diagram.Jump River Electric serves part of Northern Wisconsin. and because much of the area is forested. it is prone to outages. OneAugust there Iwere 11 power outages. Their durations [in hours} are Dis play the data in a dot diagram. \fThe breaking forces (Ibf) of salt pellets, given to the nearest tenth, are grouped into a table having the classes [140.0, 160.0), [160.0, 180.0), [180.0, 200.0), [200.0, 220.0), [220.0, 240.0), and [240.0, 260.0), where the left-hand endpoint is included but the right-hand endpoint is not. Find (a) the class marks (b) the class intervalConsider the population of all laptop computers owned by students at your university. You want to know the 1lireiciht of the laptop. {a} Specify the population unit. {h} Specify the yanahle of interest {c} Specify the statistical population. Identify.r the statistical population, sample, and vanaole of interest in each otthe following situations: {a} To learn about starh'ng salaries for engineers graduating from a Midwestem university, til-renty.r graduating seniors are asked to report their starting salary. in} Fittyr computer memory chips were selected from the thousand manufactured that day. The oomputer me lTIDT'j' chips were tested, and 5 were found to be defective. {c} Tensile strength was measured on 2d specimens made of a new plastic material. The intent is to learn about the tensile strengths for all specimens that could conceivably be manufactured with the new plastic material. For hard drives to operate propertv. the distance between the readivirrite head and the dislc must remain between tight limits. From each hour's production, 40 drives are selected and the distance is measured. Identifv the population unit, variable of interest, statistical population, and sample. Ten seniors have applied to be on the team that will build a highmileage ear to compete against teams from other universities. Use Table 1" of random digits to select 5 of the 1G seniors to form the team. Refer to the slot depth data in Table 1.1. After the machine was repaired, a sample pfthree newr ceramic parts had slot depths 215, 21 E, and 213 (theusandths of an inch}. is) Redrawthe Xhar chart and include the additional mean f. {h} D065 the new i fall within thE control limits? A Canadian manufacturer identified a critical diameter on a crank bore that needed to be maintained within a close tolerance for the product to be successful. Samples of size 4 were taken every hour. The values of the differences (measurement - specification), in ten- thousandths of an inch, are given in Table. (a) Calculate the central line for an X-bar chart for the 24 hourly sample means. The entreline is = (4.25 - 3.00 -. ..- 1.50 + 3.25)/24.. (b) Is the average of all the numbers in the table, 4 for each hour, the same as the average of the 24 hourly averages? Should it be? @ A computer calculation gives the control limits LCL = -4.48 UCL = 7.88 Construct the X-bar chart. Identify hours where the process was out of control. Table The differences (measurement - specification), in ten - thousands of an inch Hour 1 2 3 4 5 6 7 8 9 10 11 12 10 -6 -1 -8 -14 -6 -1 8 -1 5 2 5 3 1 -3 -3 -5 -2 -6 -3 7 6 1 3 6 -4 0 -7 -6 -1 -1 9 1 3 1 10 -2 -3 -7 -2 2 -6 7 11 7 2 4 4 4.25 -3.00 -2.75 -5.00 -5.75 -3.75 -0.25 6.25 3.50 4.00 2.00 5.50 Hour 13 14 15 16 17 18 19 20 21 22 23 24 5 6 -5 -8 8 7 8 5 8 -5 -2 -1 9 6 4 -5 8 7 13 4 1 7 -4 5 g 8 -5 1 -4 5 6 7 0 1 -7 9 10 -2 0 1 3 6 10 -6 2 7 0 X 7.50 |7.50 -2.00 -3.00 1.75 5.50 8.25 6.50 0.75 1.25 -1.50 3.25