+61-413 786 465

[email protected]

## Statistics

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.

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?

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

### Introduction to epidemiology assignment -assignment should

Introduction to Epidemiology Assignment - Assignment should be typed, with adequate space left between questions. Read the following paper, and answer the questions below: Sundquist K., Qvist J. Johansson SE., Sundquist ...

### Question 1 many high school students take the ap tests in

Question 1. Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology exam 84,199 of them were female. In that same year,of the 211,693 students who too ...

### Basic statisticsactivity 1define the following terms1

BASIC STATISTICS Activity 1 Define the following terms: 1. Statistics 2. Descriptive Statistics 3. Inferential Statistics 4. Population 5. Sample 6. Quantitative Data 7. Discrete Variable 8. Continuous Variable 9. Qualit ...

### Question 1below you are given the examination scores of 20

Question 1 Below you are given the examination scores of 20 students (data set also provided in accompanying MS Excel file). 52 99 92 86 84 63 72 76 95 88 92 58 65 79 80 90 75 74 56 99 a. Construct a frequency distributi ...

### Question 1 assume you have noted the following prices for

Question: 1. Assume you have noted the following prices for paperback books and the number of pages that each book contains. Develop a least-squares estimated regression line. i. Compute the coefficient of determination ...

### Question 1 a sample of 81 account balances of a credit

Question 1: A sample of 81 account balances of a credit company showed an average balance of \$1,200 with a standard deviation of \$126. 1. Formulate the hypotheses that can be used to determine whether the mean of all acc ...

### 5 of females smoke cigarettes what is the probability that

5% of females smoke cigarettes. What is the probability that the proportion of smokers in a sample of 865 females would be greater than 3%

### Armstrong faber produces a standard number-two pencil

Armstrong Faber produces a standard number-two pencil called Ultra-Lite. The demand for Ultra-Lite has been fairly stable over the past ten years. On average, Armstrong Faber has sold 457,000 pencils each year. Furthermo ...

### Sppose a and b are collectively exhaustive in addition pa

Suppose A and B are collectively exhaustive. In addition, P(A) = 0.2 and P(B) = 0.8. Suppose C and D are both mutually exclusive and collectively exhaustive. Further, P(C|A) = 0.7 and P(D|B) = 0.5. What are P(C) and P(D) ...

### The time to complete 1 construction project for company a

The time to complete 1 construction project for company A is exponentially distributed with a mean of 1 year. Therefore: (a) What is the probability that a project will be finished in one and half years? (b) What is the ...

• 13,132 Experts

## 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.

### 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