ISS (Statistical Services) Statistics Paper IV: Questions 37 - 41 of 92

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Question 37

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Describe in Detail

Essay▾

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 base plate, side cover etc.

In C- Chart Control limits are based on:

  • In C chart, we …

… (145 more words) …

Question 38

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Appeared in Year: 2015

Describe in Detail

Essay▾

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 an optimal

solution is obtained

Simplex method for…

… (318 more words) …

Question 39

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Describe in Detail

Essay▾

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 to accept or reject the lot is based on a single sample. Select a ran…

… (74 more words) …

Question 40

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Essay▾

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 chart.

Given Are Observations in the Table Below
Sample No.Observations
12.72.32.62.42.7
22.62.42.62.32.8
32.32.32.42.52.4
42.82.32.42.62.7
52.62.52.62.12.8
62.22.32.72.22.6
72.22.62.42.02.3
82.82.62.62.72.5
92.42.82.42.22.3
102.62.32.02.52.4
113.13.03.52.83.0
122.42.82.22.92.5
132.13.22.52.62.8
142.22.82.12.22.4
152.43.02.52.52.0
163.12.62.62.82.1
172.92.42.91.31.8
181.91.62.63.33.3
192.32.62.72.83.2
201.82.82.32.02.9

Explanation

From the tables, for n = 5, we have ,

Control limits for :

And

… (20 more words) …

Question 41

Describe in Detail

Essay▾

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 chart.

Given Are Observations UCL and LCL for R Chart
Sample No.Observations
12.72.32.62.42.7
22.62.42.62.32.8
32.32.32.42.52.4
42.82.32.42.62.7
52.62.52.62.12.8
62.22.32.72.22.6
72.22.62.42.02.3
82.82.62.62.72.5
92.42.82.42.22.3
102.62.32.02.52.4
113.13.03.52.83.0
122.42.82.22.92.5
132.13.22.52.62.8
142.22.82.12.22.4
152.43.02.52.52.0
163.12.62.62.82.1
172.92.42.91.31.8
181.91.62.63.33.3
192.32.62.72.83.2
201.82.82.32.02.9

Explanation

From the tables, for n = 5, we have, ,

Control limits for :

= 0

… (13 more words) …