Measuring the actual dimensions of a manufactured part is a classical problem in many differentdisciplines, particularly for quality engineers. A quality engineer is measuring the thickness ofnickel plates for use in a nickel-hydrogen battery. By the way the plate is made, she canconsistently identify specific locations on each plate. That is, location A is in the same spot oneach plate, and location B is in the same spot on each plate. She believes that measuringthickness at location A results in a consistently thicker measure than at location B. Shemeasured thickness, in mm, at locations A and B on the same 10 plates. Conduct an appropriatehypothesis test with 95% confidence using the critical value approach.Location ALocation B31.10 31.1029.75 29.7530.9030.15 30.8030.8032.2030.2030.4030.4029.65 29.85 29.85 30.6530.35 29.75 29.15 30.50

Answered: Measuring the actual dimensions of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are working for a company designing and manufacturing high-end picture frames. For a new industrial-themed line of frames you will be calculating the dimensions of the 8X10 inch steel frame. Your project manager tells you that the overall area of the steel used in the frame needs to be 32 in². What will the thickness of the frame ("x") need to be to account for this? Hint the gray area in the picture represents the steel which needs to have an area of 32 in². The white represents empty space) 8" 10" X
Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the followinng table: length weight 1616 47.0 48.7 1862 2855 55.7 45.2 1199 1320 44.7 1225 43.8 870 38.5 1455 45.8 1220 44.0 1033 40.4 Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been satisfied and round your…
A campaign to promote a brand of dairy products is based on the free distribution of yogurts with lemon or strawberry flavor. It is decided to distribute at least 30,000 yogurts. Every lemon yogurt needs for its elaboration 0.5 gr. of a fermentation product and each strawberry yogurt needs 0.2 gr. of that same product. It has 9 kgs. of that product for fermentation. The cost of producing a yogurt of strawberry is twice that of a lemon yogurt. How many yogurts of each type must be produced so that the cost of the campaign is minimal?.
6. A rectangular vault is to be constructed on an existing floor at a bank so as to enclose a volume of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for the wall with the door and $3,000 for the other three walls. The minimized cost of the vault rounded to the nearest $1,000 dollars is: a. $964,000 b. $971,000 c. $982,000 d. $993,000 7. The function f (x,y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical point at (x, y, z) = (24, 12,8). If that critical point is derived by the Lagrangian method, then the value of the Lagrange multiplier 2 at the critical point is: а. 13 24 b. 1 = 36 c. 1 = 54 d. 1 = 96
The height of a triangle is measured as 26.2 cm, with the base measured as 17.4 cm. The measurement of the height can be off by as much as 0.8 cm, and that of the base by no more than 1.2 cm. Estimate the maximum possible error in calculating the area of the triangle. ... Thus, the maximum possible error in calculating the area of the triangle is approximately cm².
3. You are building a go-cart for the National Go-cart Championship Race. Knowing that heavier go-carts travel faster but consume more gas, you need to figure out the optimal go- cart weight. This graph shows the relationship between the weights of last year's go-carts and the amount of gas they used. Use the graph to answer questions a-d. Gas Consumption Depending on Car Weight 400 350 300 E250- 200 150 100 50 40 60 80 100 120 140 160 Car weight (kg) Gas used (ml) 20 OHayden-McNeil, LLC
Cholesterol Testing. A large health care organization uses three laboratories for the routine analysis of blood samples. It is important that the three labs provide equivalent test results. To check that, blood samples are obtained from 10 randomly selected individuals; each blood sample is then divided into three blood subsamples of equal volume; and then the three blood subsamples from each person are sent to different labs. For this problem, the analysis is confined to assessing the measurement of the total cholesterol level for a person. The data are in the following table.

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