Ask Question, Ask an Expert

+61-413 786 465

info@mywordsolution.com

Ask Statistics and Probability Expert

TASK A: Minitab analyses for Case Study

The data is listed in the table below and may be copied into Minitab (best to use the file task3.mtw). Use the menu item Stat_DOE_Factorial_Custom design to indicate that Minitab should use the information in the worksheet to set up a 2-level factorial design object. (The results will be seen in the Project Manager.)You should indicate that the worksheet data are coded but also enter the real “uncoded” values in the Low/High table.

131_Low-high table.jpg


problem1) Use the Factorial/Factorial Plots option to display main effects plots for the response variable (Effort) using both coded and uncoded representations of the design variables (factors) including the “empty” columns. State what the plots suggest about important sources of variation in effort.

problem2) Now apply the Analyze Factorial Design item to the response variable effort choosing: (i) terms up to order 1 leaving out the empty columns, (ii) results with no alias table, (iii) graphs with normal plots of the main effects with alpha set at 0.1.

(a) Display the tabular form of the fitted equation with factors in coded form and use the 1 need to enter these in the equation to predict the mean effort for a flap having Pin OD = 6.45, Pin ID = 3.50, Stay Gap = 5.65, Ep = 5 and Es = 4. [Hint: factors which are exactly on target are coded as zero. You can just plug the values into the coded form of the fitted regression model, making sure to use coefficients not effects.]

(b) Display the normal plot and point out important similarities and differences between it and the main effects plots from problem 1. What conclusion does it suggest about important factors to consider?

(c) Add the empty columns back into the terms to be fitted, run the analysis menu again and display the resulting normal plots of the main effects. describe how this display further supports the conclusions you drew in part (b) about unimportant factors.

problem3)

(a) Try simply regressing the column Effort on the 5 design variables with the variables in coded form , leaving out “empty’ columns. (Use the Stat_Regression_Regression menu.) How do the results compare with part 2?

(b) Repeat the regression but now replace O and G by the interference (i.e. a column containing the difference O – G) and leave out I and Es and any empty columns. Interpret the result. You can still use the coded form of the design variables.

problem4) Now use Create Factorial Design to create an 8 run expt with 7 factors. (It should  open a new worksheet within your Minitab project) Use the default settings, but under Options do not randomize order, and choose summary and alias tables under Results. Display the design and compare it with that used in the lecture notes. Is it essentially the same design?
Optional: Use column multiplication to check the aliasing of C and DG. Referring back to the design used for the filler flap robustness investigation, could this aliasing create any doubt about the conclusions we have drawn about important design factors?

TASK B: Design optimisation

153_Design optimisation.jpg
Enter the data from the above table in Minitab. Carry out the following tasks:

problem1) Fit and plot a quadratic response surface (with both surface plot and contour plot) relating the pin diameter and modulus to the effort. (Use DOE/Response Surface design.)

problem2) Find a target value for pin diameter that achieves the target effort (10.5N) established by the researchers (task 1 of the case study), when the pin modulus is at its mid-value used in this experiment.

problem3) Determine whether the expected variation in pin modulus can be accommodated within the acceptable range of efforts established in task 1 (of the case study). Assume that typical manufacturing variation in pin diameter is ±0.05mm and that variation in the pin modulus is the variation find outd as “ x¯ ± 3s ”  Comment on any assumptions you are making

problem4) In the light of your conclusions from part 3, how might you go about ensuring that the general flap design is comfortably able to achieve its objective regarding effort?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9360

Have any Question? 


Related Questions in Statistics and Probability

Among 140 subjects with positive test results there are 25

Among 140 subjects with positive test? results, there are 25 false positive? results; among 152 negative? results, there are 22 false negative results. If one of the test subjects is randomly? selected, find the probabil ...

Monroe inc is evaluating a project the company uses 138

Monroe, Inc, is evaluating a project. The company uses 13.8 percent discount rate for this project. cost and cash flows are shown in the table. What is the NPV of the project? year. Project 0. ($11,368,000) 1. $2,187,590 ...

Assume that the mean score on a normally distributed

Assume that the mean score on a normally distributed statistics quiz taken by 400 psychology students was 76, and the standard deviation was 8. Ben had a z-score of -1.2. If someone gave a passing grade only to the top 2 ...

An electronics store receives a shipment of 37 graphing

An electronics store receives a shipment of 37 graphing calculators, including 5 that are defective. Eight calculators are chosen at random to be sent to a local high school. How many selections contain 3 defective?

A basket contains 5 bananas and 5 apples each of ten people

A basket contains 5 bananas and 5 apples. Each of ten people picks two fruits at random from the basket without replacement. (a) What is the probability that the first people picks one apple and one banana? (b) What is t ...

Initial public offeringa brazilian company called net shoes

Initial public offering A Brazilian company called Net shoes completed its IPO on April 12, 2017, and listed on the NYSE. Net shoes sold 8,250,000 shares of stock to primary market investors at an IPO offer price of $18, ...

Out ofnbsp350nbspapplicants for a jobnbsp158nbspare female

Out of 350 applicants for a job, 158 are female and 66 are female and have a graduate degree. Step 1 of 2:  What is the probability that a randomly chosen applicant has a graduate degree, given that they are female? Expr ...

A school district is trying to estimate the proportion of

A school district is trying to estimate the proportion of students at the high school who would eat a school breakfast if the cafeteria were opened to students at 6 am. A new employer opened up within the district and th ...

Define and discuss the following business valuation process

Define and discuss the following business valuation process: a. Basic Framework b. Book Value Approach c. Market Value of Traded Securities Approach d. Market Multiple Approach e. Discounted Cash Flow Approach . details ...

In 2013 gallup conducted a poll and found a 95 confidence

In 2013, Gallup conducted a poll and found a 95% confidence interval of the proportion of Americans who believe it is the government's responsibility for health care. Give the statistical interpretation.

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

Compute the present value of an 1150 payment made in ten

Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As