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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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Pipes used in a water distribution network are susceptible to breakage due to a variety of factors. When pipes break, engineers must decide whether to repair or replace the broken pipe. A team of civil engineers estimated the ratio of repair to replacement cost of commercial pipe based on the diameter (in millimeters) of the pipe.(IHS Journal of Hydraulic Engineering,September 2012.) The ratios for a sample of 12 different pipe sizes are listed in the accompanying data table. Assume these data represent a random sample selected from all possible types of commercial pipe. A technology analysis of the data is also given. a. Locate a 95% confidence interval for the mean ratio of repair to replacement cost for all commercial pipe on the accompanying technology printout.
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.
Sonya collected data on the shoe size worn by each member of her class. She sees that John wears a size 9 shoe. What type of data are these? 1.primary aggregate data 2.secondary aggregate data 3.primary microdata 4.secondary microdata
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The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. a. Determine the proportion of flanges that exceeds 1.02 millimeters.b. What thickness is exceeded by 90% of the flanges? c. Determine the mean and variance of flange thickness.
Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, thunderheads produce, on average, 300 acre feet. The meteorologists randomly selected 30 clouds which they seeded with silver iodide to test their theory that average acre feet of rain produced is more than 300. Which of the following is the most appropriate test for this data? a. One Sample t Test b. Sign Test c. One Proportion Z Test
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?
The Kentucky Department of Agriculture is concerned about the number of acres of farmland being withdrawn from farming. The department would like to propose new legislation to prevent this but wants to show the legislature what would happen if it does not act. Drew Johnson, the department’s statistician, regresses the number of acres used for farming in the state on time. Johnson finds the following: Model R R Square Adjusted R Square Std. Error of the Estimate 1 .943a .890 .795 3.2875 Predictors: (Constant), Number of Years Model Sum of Squares df Mean Square F Sig. 1 Regression 1378.458 1 1378.458 141.149 .000a Residual 478.567 49 9.766 9.766 Total 1857.025 50 Predictors: (Constant), Number of Years Dependent Variable: Acres (in Millions) Unstandardized Standardized B Std. Error Beta t Sig. 1 constant 2.743 .357…
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?
Determine what would be the most appropriate method of Colleting data today and the Scale of Measurement that will be used in a study to “Find the Number of schools that closed down in 2020 due to the CONVIRUS… Briefly explain justification of your choices in Number 1…
We would like to determine the average height of the overall student body at Michigan State University. Does it seem necessary to take a sample from the overall student body?
Nicole and Jen are atidnyjng factors affecting FEV(forced exploratory volume- how much air a person can push out in a forced breath). Their investigation focuses on data from a sample of 12 patients: Patient height(cm) FEV(L) Luve in a smokinghousehold 1 153 2.23 N 2 168 2.98 N 3 183 4.50 N 4 178 4.82 Y 5 185 4.32 N 6 169 3.21 N 7 173 3.69 Y 8 168 2.68 Y 9 157 2.20 Y 10 166 3.35 N 11 171 3.08 N 12 175 3.30 Y q3 the line of best fit between the HEIGHT and FEV variables can be described by: F=0.08H-10 whee F represents FEV(L) and H represent height(cm) use this equation to predict: a. The FEV of a patient who is 183 cm talk(Give your answer to 2 decimal point) b. The height of a patients with a FEV of 2.651L(give your answer to the nearest whole number)

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