A process that manufactures vinyl for automobile seat covers was studied. Three factorswere varied: the proportion of a certain plasticizer (A), the rate of extrusion (B), and thetemperature of drying (C). The outcome of interest was the thickness of the vinyl (in mils).A 23 factorial design with four replicates was employed. The results are presented in thefollowing table. (Based on the article "Split-Plot Designs and Estimation Methods forMixture Experiments with Process Variables," S. Kowalski, J. Conell, and G. Vining,Technometrics, 2002:72-79.)вThickness-1-1-1-1-1-1-1-11110-11111a Estimate all main effects and interactions.b. Construct an ANOVA table. You may give ranges for the P-values.Is the additive model appropriate? Explain.d. What conclusions about the factors can be drawn from these results?

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter6: Ratio, Proportion, And Probability

Section6.6: Scale Drawings

Problem 1E

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A metal casting process for the production of turbine blades was studied. Three factors were varied. They were A: the temperature of the metal, B: the temperature of the mold, and C: the pour speed. The outcome was the thickness of the blades, in mm. The results are presented in the following table. Thickness 4.61 B -1 -1 -1 -1 -1 4.51 -1 -1 4.60 -1 4.54 -1 4.61 4.61 -1 4.48 4.51 a. Compute estimates of the main effects and the interactions. b. Is it possible to compute an error sum of squares? Explain. Plot the estimates on a normal probability plot. Does the plot show that some of the factors influence the thickness? Éxplain. C.
When survey data indicated that a coffee company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bags without tearing the inner liner of the bag. Data were collected on 19 bags and the plate gap on the bag-sealing equipment was used to predict the tear rating of a bag. Complete parts (a) through (c). Click the icon to view the data table. a. Construct a 95% confidence interval estimate of the mean tear rating for all bags of coffee when the plate gap is 0.3. ☐ SHYX=0.3☐ (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
A group of 100 people, who lived at varying distances (in kilometers) from an island nuclear power station, were asked if they thought a full evacuation of the area was required, when it went critical. The researches wanted to know if the opinion to evacuate or not depended on how far from the reactor people lived. Partial results of the questionnaire are shown in the table below. 0-3 km distance 3 -6 km distance 6 -9 km distance 9- 12 km distance Totals Evacuation needed X X X 51 Evacuation not X X XX needed Totals 28 28 23 XX XX You are doing a Chi Square test for independence. What is the expected value of the number of people living within a radius of 0-3 km who would say that evacuation was needed? XX denotes row/column totals. Give your answer to 2 decimal places.
In Dave Pelz’s Short Game Bible, the author attempts to characterize the skill of a golfer from a specific distance in terms of the ratio of the error in the shot and the intended shot distance. For example, a five iron that is hit 175 yards and is 20 yards off target would have an accuracy rating of 20/175 = .114, while a sand wedge hit 60 yards that is 10 yards off target would have an accuracy rating of 10/60 = .1667 (the lower the rating, the better). To what evaluation method discussed in this section is this most similar? Why does this evaluation method make more sense in golf than absolute or squared errors?
In a study of the effect of subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway, simulated Boeing 747 landing gear was trafficked across four sections of runway. Then simulated Boeing 777 landing gear was traf- ficked across four sections of runway. The surface deflection for each trial is listed below. 5. Boeing 747 Boeing 777 4.01 3.87 3.72 3.76 4.57 4.48 4.36 4.43 Compute an appropriate 95% confidence interval for the difference in mean surface deflec- tion for a Boeing 777 vs a Boeing 747. State any additional assumptions that you need to make. You may use Minitab or other software for this problem, but you must show enough steps that it is clear that you understand the procedure(s) you are using.
Betty, an employee of Shining Sun Daycare Centerread an article in Healthy Child Magazine sayingthat the average 3-year-old child is 37 in. tall.Betty works with 10 3-year-olds at Shining Sun,so later that week, she measured the height ofeach child who had just turned or was about toturn 3 years old. Here are the descriptive statisticsfor the sample: M = 35, s = 3.1. State the nondirectional hypothesis.2. Determine the critical t for a = .05.3. Calculate t. Show your calculations.4. Is the height of 3-year-olds in Shining SunDaycare Center significantly different fromthe height given in the magazine?
The 5- number summary is 0.53, 0.74, 1.19, 1.355, and 1.49
A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR = 131,437.56 and SST=140,767.27. Complete parts (a) through (c). a. Determine the coefficient of determination, , and interpret its meaning. 2= (Round to four decimal places as needed.)
The question is in the image.
Mars, Inc. manufactures M&M’s, one of the most popular candy treats in the world. The milk chocolate candies come in a variety of colors including blue, brown, green, orange, red, and yellow (M&M website, March 2012). The overall proportions for the colors are .24 blue, .13 brown, .20 green, .16 orange, .13 red, and .14 yellow. Explain how you could use the Chi-Square Goodness of Fit test to the hypothesis that the overall proportions for the colors are as stated above. What data would you need to collect?
Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. A research team examined the adhesive properties of 7 Tokay geckos. Displayed are the toe-pad areas (in square centimeters, cm²) for this sample. 5.6 4.9 6.0 5.1 5.5 5.1 7.5
Given the following lengths (in cm): 20, 45, 44, 45, 36, 36, 17, 48, 44, 52 Determine the percentile rank for a length of 36cm. 80th percentile 30th percentile 20th percentile 30th percentile

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