STT 215代做、代写Python/Java程序设计

日期：2024-03-25 09:56

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STT 215 – Design of Experiments

Homework 5

1. (20 Points)

Chapter 3 Problem 3.31 (Use JMP to solve this problem)

An article in the Journal of the Electrochemical Society (Vol. 139, No. 2, 1992, pp. 524-532) describes an

experiment to investigate low-pressure vapor deposition of polysilicon. The experiment was carried out in a

large capacity reactor at Sematech in Austin, Texas. The reactor has several wafer positions, and four of

these positions are selected at random. The response variable is film thickness uniformity. Three replicates

of the experiment were run, and the data are as follows:

Wafer

Positions Uniformity

1 2.76 5.67 4.49

2 1.43 1.70 2.19

3 2.34 1.97 1.47

4 0.94 1.36 1.65

(a) Is there a difference in the wafer positions? Use Use α=0.05.

(b) Estimate the variability due to wafer position.

(c) Estimate the random error component using the method of moments procedure.

(d) Estimate the random error component using the REML method

(e) Analyze the residuals from this experiment and comment on model adequacy.

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2. (20 Points)

Chapter 4 Problem 4.12S (Use JMP to solve this problem)

A consumer products company relies on direct mail marketing pieces as a major component of its

advertising campaigns. The company has three different designs for a new brochure and want to evaluate

their effectiveness, as there are substantial differences in costs between the three designs. The company

decides to test the three designs by mailing 5,000 samples of each to potential customers in four different

regions of the country. Since there are known regional differences in the customer base, regions are

considered as blocks. The number of responses to each mailing is shown below.

Region

Design NE NW SE SW

1 250 350 219 375

2 400 525 390 580

3 275 340 200 310

(a) Analyze the data from this experiment and draw conclusions

3. (20 Points)

Chapter 4 Problem 4.8 (Use JMP to solve this problem)

Three different washing solutions are being compared to study their effectiveness in retarding bacteria

growth in five-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run

on any day. Because days could represent a potential source of variability, the experimenter decides to use a

randomized block design. Observations are taken for four days, and the data are shown here. Analyze the

data from this experiment (use α = 0.05) and draw conclusions. Treat Days as a random variable.

Days

Solution 1 2 3 4

1 13 22 18 39

2 16 24 17 44

3 5 4 1 22