quality management systems 4

Q1-A product has three quality characteristics. The nominal values of these quality characteristics and their sample covariance matrix have been determined from the analysis of 30 preliminary samples of size n=10 as follows:. The sample means for each quality characteristic for 15 additional samples of size n=10 are show below. Is the process in statistical control? Please provide details.

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Sample #

Xbar1

Xbar2

Xbar3

1

3.1

3.7

3

2

3.3

3.9

3.1

3

2.6

3

2.4

4

2.8

3

2.5

5

3

3.3

2.8

6

4

4.6

3.5

7

3.8

4.2

3

8

3

3.3

2.7

9

2.4

3

2.2

10

2

2.6

1.8

11

3.2

3.9

3

12

3.7

4

3

13

4.1

4.7

3.2

14

3.8

4

2.9

15

3.2

3.6

2.8

Answer:

Q2 – The below table presents chemical process data. Using Engineering Process Control Chart in Module14 (Course Note), find the reset points and Construct the Control Charts.

Answer:

Q3 (Benchmarking Question)-Perform benchmarking for Company X and provide remedy options (Methodology, Tools, Techniques) to improve Company X performance?

Key Process Area

Industry Average

Company X

Difference

Remedy options

Employee development

450

260

Materials

31,000

30,000

Warehousing

975

3,000

Material control

180

3,500

Materials preparation

85

550

Production control

725

3,800

Assembly

10,000

11,100

Integration & test

3,060

2,050

Incoming inspection

75

275

In-process inspection

200

500

Supplier auditing

1,250

150

Internal auditing

2,800

200

Answer:

Q4 (Process Capability Question)-A process is in statistical control with x(double bar) = 39.7 and R(bar) = 2.5. The control chart uses a sample size of n = 2. Specifications are at 40 +/- 5. The quality characteristic is normally distributed. Estimate the potential capability of the process and explain your conclusion.

Answer:

Q5 –Explain the shortcomings of control ellipse in Multivariate Monitoring Chart?

Answer:

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Note: You need to type all steps of calculations. Please use excel for calculation and avoid cut & paste from excel.