Reference no: EM131186759
Question 1 - Perform a simulation study comparing the short-run performance of the Standards given p-chart with a matching (known p) Binomial Q chart described in Quesenberry (1991, reproduced in appendix). You may assume a production length of 50 samples for the entire production period.
Question 2 - Consider the Pencil lead data given below (description of variables follows):
|
Subgroup
|
Ash
|
Por
|
Subgroup
|
Ash
|
Por
|
Subgroup
|
Ash
|
Por
|
Subgroup
|
Ash
|
Por
|
|
1
|
41.9
|
13.2
|
6
|
41.6
|
13.0
|
11
|
40.5
|
11.7
|
16
|
42.4
|
13.9
|
|
1
|
42.2
|
13.9
|
6
|
42.1
|
14.1
|
11
|
42.3
|
14.5
|
16
|
41.6
|
13.0
|
|
1
|
43.0
|
14.2
|
6
|
41.1
|
12.9
|
11
|
41.4
|
13.7
|
16
|
42.0
|
14.0
|
|
1
|
41.5
|
13.9
|
6
|
42.2
|
13.5
|
11
|
41.0
|
12.5
|
16
|
42.2
|
14.3
|
|
1
|
43.1
|
14.5
|
6
|
42.9
|
14.2
|
11
|
42.7
|
14.0
|
16
|
42.9
|
14.3
|
|
2
|
40.7
|
12.2
|
7
|
43.5
|
14.7
|
12
|
41.4
|
13.2
|
17
|
42.5
|
14.0
|
|
2
|
42.8
|
14.4
|
7
|
41.0
|
12.7
|
12
|
41.9
|
14.1
|
17
|
42.1
|
13.1
|
|
2
|
42.6
|
14.1
|
7
|
43.0
|
14.3
|
12
|
41.3
|
12.8
|
17
|
42.3
|
14.5
|
|
2
|
41.9
|
13.6
|
7
|
42.0
|
13.6
|
12
|
42.7
|
14.1
|
17
|
40.9
|
12.9
|
|
2
|
42.1
|
13.6
|
7
|
42.2
|
13.8
|
12
|
42.1
|
13.6
|
17
|
42.9
|
14.3
|
|
3
|
41.4
|
13.4
|
8
|
41.5
|
13.5
|
13
|
41.6
|
13.4
|
18
|
41.7
|
13.6
|
|
3
|
41.5
|
13.6
|
8
|
42.2
|
13.2
|
13
|
42.1
|
13.8
|
18
|
41.7
|
12.7
|
|
3
|
43.0
|
13.9
|
8
|
42.7
|
14.0
|
13
|
40.5
|
12.8
|
18
|
42.0
|
15.0
|
|
3
|
42.9
|
14.5
|
8
|
43.3
|
14.5
|
13
|
42.0
|
14.0
|
18
|
42.3
|
14.0
|
|
3
|
42.7
|
14.2
|
8
|
44.0
|
14.7
|
13
|
41.3
|
13.4
|
18
|
42.9
|
14.8
|
|
4
|
41.8
|
13.7
|
9
|
43.3
|
15.1
|
14
|
43.9
|
15.7
|
19
|
40.2
|
11.8
|
|
4
|
41.2
|
12.3
|
9
|
40.3
|
11.8
|
14
|
41.3
|
13.2
|
19
|
40.6
|
12.6
|
|
4
|
42.5
|
14.0
|
9
|
41.1
|
12.4
|
14
|
42.8
|
14.1
|
19
|
41.9
|
13.3
|
|
4
|
41.9
|
14.1
|
9
|
42.8
|
14.2
|
14
|
41.7
|
13.2
|
19
|
41.2
|
12.7
|
|
4
|
41.1
|
12.3
|
9
|
42.4
|
13.7
|
14
|
41.3
|
12.9
|
19
|
42.3
|
13.5
|
|
5
|
41.7
|
13.6
|
10
|
42.7
|
13.7
|
15
|
41.1
|
12.9
|
20
|
41.9
|
14.1
|
|
5
|
41.3
|
13.1
|
10
|
42.1
|
13.2
|
15
|
43.2
|
14.2
|
20
|
41.8
|
13.2
|
|
5
|
42.8
|
15.1
|
10
|
42.3
|
13.9
|
15
|
42.9
|
14.9
|
20
|
41.2
|
12.8
|
|
5
|
41.6
|
13.1
|
10
|
41.3
|
12.9
|
15
|
43.4
|
14.5
|
20
|
40.4
|
12.5
|
|
5
|
40.4
|
11.8
|
10
|
41.9
|
13.2
|
15
|
41.7
|
12.8
|
20
|
42.6
|
14.0
|
The variable Ash is a standard ash test used to monitor the composition of Pencil lead, which is a combination of clay and graphite. The higher the ash content, the more clay in the formulation.
Por is a standard porosity test. Ceramic materials become more porous during the initial phases of the firing cycle, and then less porous later. The smaller the porosity, the more complete the firing and the stronger the ceramic body (also the more brittle). Too high a porosity indicates under-firing, and too low a porosity indicates over-firing.
For the above retrospective data, construct a bivariate control chart. You need to show all steps in computing the points plotted and control limits. Interpret the chart and compare it with the corresponding univariate charts.
Question 3 - Perform a simulation study to compare the effectiveness of various statistical intervals for the standard beta distribution. Discuss your conclusions.
Attachment:- Assignment.rar
|
Which of the general categories best described the example
: If the British pound (?) appreciates by 10% against the dollar: Consumer expenditure plans is an example of a forecasting method. Which of the general categories best described this example?
|
|
Dramatic transformation of matter
: Classically, before the 20th century, chemistry was defined as the science of the nature of matter and its transformations. It was therefore clearly distinct from physics which was not concerned with such dramatic transformation of matter.
|
|
Variable in the macro environment
: Which one of the following is NOT a variable in the macro environment? Airlines know that if there is a global shortage of fuel, their ticket prices have to increase to accommodate the higher price they will pay for the fuel. Which characteristic of ..
|
|
Outputs the monthly paycheck information
: Write a program that calculates and outputs the monthly paycheckinformation for an employee, including all the amounts deductedfrom an employee's gross pay, and the net pay that is due to theemployee. The user of your program will know the employe..
|
|
Construct a bivariate control chart
: For the above retrospective data, construct a bivariate control chart. You need to show all steps in computing the points plotted and control limits. Interpret the chart and compare it with the corresponding univariate charts
|
|
Understanding of benefits and risks of electronic commerce
: This Discussion will assess your understanding of the benefits and risks of electronic commerce over the Internet. Using the library and the Internet, locate and briefly summarize a cybercrime case. Discuss the internal controls you would recommend t..
|
|
Construct a flood frequency curve for myola
: Construct a flood frequency curve for Myola and generate a table and sort the individual flood flows into order of decreasing magnitude.
|
|
E-commerce have implications for financial reporting
: Privacy and security issues associated with e-commerce have implications for financial reporting and compliance with laws and regulations. Identify a retail company and describe how the company uses electronic commerce. Further, explain why electroni..
|
|
Post statement outlinning what mission statement
: As the marketing director for a small firm that manufactures educational toys for children you have been asked to develop a mission statement. Post a statement outlinning what a mission statement is, why firms develop them, how they are used, and wri..
|