Reference no: EM131253002
Consider the alloy cracking experiment in Problem 6.15. Suppose that temperature (A) is a noise variable. Find the response model, and the model for the mean response, and the model for the transmitted variability. Can you find settings for the controllable factors that minimize crack length and make the transmitted variability small?
Problem 6.15:
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer to determine the effect of four factors on cracks. The four factors are pouring temperature (A), titanium content (B), heat treatment method (C), and amount of grain refiner used (D). Two replicates of a 24 design are run, and the length of crack (in mm ×10-2 ) induced in a sample coupon subjected to a standard test is measured. The data are shown in Table P6.2
(a) Estimate the factor effects. Which factor effects appear to be large?
(b) Conduct an analysis of variance. Do any of the factors affect cracking? Use α = 0.05.
(c) Write down a regression model that can be used to predict crack length as a function of the significant main effects and interactions you have identified in part (b).
(d) Analyze the residuals from this experiment.
(e) Is there an indication that any of the factors affect the variability in cracking?
(f) What recommendations would you make regarding process operations? Use interaction and/or main effect plots to assist in drawing conclusions.
How us has restrained trade over the past sixty years
: From the e-Activity, illustrate with two examples how the U.S. has restrained trade over the past 60 years and state why you think that happened.
|
Discuss the conclusions of the factorial anova
: Write Section 1 of the DAA. Provide context for the caffeineexercisehr.sav data set. Include a definition of the specified variables, including factors, levels of each factor, and the outcome variable. Define the corresponding scales of measuremen..
|
Range of prices in horse market
: Show that the requirement that the number of owners who sell their horses must equal the number of nonowners who buy horses.
|
Create a communications plan for letting employees
: "International Human Resources" Please respond to the following: With your human resources plan in mind, create a communications plan for letting employees know how attractive this relocation plan will be.
|
Analyze the residuals from this experiment
: Write down a regression model that can be used to predict crack length as a function of the significant main effects and interactions you have identified in part (b).
|
Did you have any sense of resolution
: It has been said that the second act of Doubt, a parable occurs on the car ride home from the theatre. What is the value of leaving the play un-resolved? Did you have any sense of resolution? Was it enough to satisfy you
|
Find a reasonable design for this problem
: Reconsider the wave soldering experiment in Problem 12.16. Suppose that it was necessary to fit a complete quadratic model in the controllable variables, all main effects of the noise variables, and all controllable variable-noise variable interac..
|
Process of an initial public offering
: When a firm begins the process of an Initial Public Offering, they hire an underwriter (bookrunner) to drum up support for the issue. This begins with some due diligence, legal research, filing with the SEC, and a road show. When all is said and..
|
Find the core of the variant of the horse trading game
: Find the core of the variant of the horse trading game in which there is a single owner, whose valuation is less than the highest valuation of the non owners.
|