+61-413 786 465

info@mywordsolution.com

## 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

### Researchers randomly assigned 25 beginning students of

Researchers randomly assigned 25 beginning students of Russian to begin speaking practice immediately and another 25 to delay speaking for 4 weeks. At the end of the semester both groups took a standard test of comprehen ...

### Assume that the significance level is alpha equals alpha005

Assume that the significance level is alpha equals α=0.05. Use the given statement and find the? P-value and critical? value(s). The test statistic of z equals = -1.53 is obtained when testing the claim that p= 1/6 P-val ...

### A coin is randomly picked from a collection of 10 coins the

A coin is randomly picked from a collection of 10 coins, the ith coin having a probabiliity i/10 of coming up heads. The coin in then flipped repeatedly until a head appears. Let X be the number of flips necessary. Find ...

### A researcher wants to determine if there is an association

A researcher wants to determine if there is an association between religious affiliation (e.g., Christian, Muslim, Jewish. Buddhist, Unaffiliated, etc.) and ethnicity (African American, Asian, American Indian, Whte, Othe ...

### Only 35 of the drivers in a particular city wear seat belts

Only 35% of the drivers in a particular city wear seat belts. Suppose that 20 drivers are stopped at random what is the probability that exactly four are wearing a seatbelt? (Round your answer to 4 decimal places)

### You have a bag with three fair dice one is 4-sided one is

You have a bag with three fair dice. One is 4-sided, one is 6-sided, and one is 12-sided. You reach into the bag, pick one die at random, and roll it. The outcome of the roll is 4. What is the probability that you rolled ...

### A researcher is interested in learning more about the

A researcher is interested in learning more about the protective effects of exercise. He conducts a study where he collects information about stress levels (measured on a multi-item Likert scale) and hours of exercise co ...

### A travel analyst claims that the mean room rates at a

A travel analyst claims that the mean room rates at a three-star hotel in Chicago is greater than \$152. In a random sample of 36 three-star hotel rooms in Chicago, the mean room rate is \$165 with a standard deviation of ...

### It has been argued that although there may be more claims

It has been argued that although there may be more claims when road conditions are slippery in the winter, this should not affect the average claim. Malpeque took a sample of 50 claims from the winter of 2018 and found t ...

### During this course you have compiled a marketing plan for

During this course, you have compiled a marketing plan for your fictional start-up company. Share the most important part of the marketing plan, and include an explanation of your company and product/service, situation a ...

• 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