ISS Statistics Paper IV: Questions 37 - 40 of 79

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Question number: 37

» Statistical Quality Control » Control Charts » Attributes

Essay Question▾

Describe in Detail

What is C-chart? What are control limits for C Chart based on? What is a p Chart?

Explanation

C-Chart: Unlike d or np charts, which applies to the number of defectives in a sample, c-chart applies to the number of defects per unit. For example, in case of surface defects, area of the surface is the sample size; in case of casting defects a single part such as… (169 more words) …

Question number: 38

» Operations Research and Reliability » LPP Computational Methods

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Solve the following problem Simplex method.

Maximize Z = 8x1+6x2

Subject to

x1+x2 ≤ 10

2x1+3x2 ≤ 25

x1+5x2 ≤ 35

x1, x2 ≥ 0

Explanation

The Simplex algorithm is an iterative procedure for solving LP problems in a finite number of steps. It consists of

  • Having a trial basic feasible solution to constraint-equations

  • Testing whether it is an optimal solution

  • Improving the first trial solution by a set of rules and repeating the process till… (573 more words) …

Question number: 39

» Statistical Quality Control » Acceptance Sampling by Attributes

Essay Question▾

Describe in Detail

a) What is ASN?

b) What is Single Sampling Plan?

c) How are lots selected in sequential sampling?

Explanation

a) The expected value of sample size required for coming to a decision whether to accept or reject a lot in an acceptance- rejection sampling inspection plan is called ASN. The curve obtained on plotting ASN against p is called the ASN curve.

b) In this sampling plan, the decision… (92 more words) …

Question number: 40

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

A electric Company uses a process to paint refrigerators with a coat of enamel. During each shift, a sample of five refrigerators is selected and the thickness of the paint in mm is determined. Find upper control limit (UCL) the lower control limit (LCL) for X¯ chart.

Given are observations find UCL and LCL

Given are observations in the table below

Sample No.

Observations

1

2.7

2.3

2.6

2.4

2.7

2

2.6

2.4

2.6

2.3

2.8

3

2.3

2.3

2.4

2.5

2.4

4

2.8

2.3

2.4

2.6

2.7

5

2.6

2.5

2.6

2.1

2.8

6

2.2

2.3

2.7

2.2

2.6

7

2.2

2.6

2.4

2.0

2.3

8

2.8

2.6

2.6

2.7

2.5

9

2.4

2.8

2.4

2.2

2.3

10

2.6

2.3

2.0

2.5

2.4

11

3.1

3.0

3.5

2.8

3.0

12

2.4

2.8

2.2

2.9

2.5

13

2.1

3.2

2.5

2.6

2.8

14

2.2

2.8

2.1

2.2

2.4

15

2.4

3.0

2.5

2.5

2.0

16

3.1

2.6

2.6

2.8

2.1

17

2.9

2.4

2.9

1.3

1.8

18

1.9

1.6

2.6

3.3

3.3

19

2.3

2.6

2.7

2.8

3.2

20

1.8

2.8

2.3

2.0

2.9

Explanation

Given are observations find mean, range and total

Given are observations Calculate the correct mean, range and total

Sample No.

Observations

Total

Sample Mean ( X¯)

Sample Range (R)

1

2.7

2.3

2.6

2.4

2.7

12.70

2.54

0.40

2

2.6

2.4

2.6

2.3

2.8

12.70

2.54

0.50

3… (276 more words) …

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