ISS (Statistical Services) Statistics Paper IV: Questions 37  40 of 79
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Question number: 37
» Statistical Quality Control » Control Charts » Attributes
Describe in Detail
What is Cchart? What are control limits for C Chart based on? What is a p Chart?
Explanation
CChart: Unlike d or np charts, which applies to the number of defectives in a sample, cchart 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 cha…
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Question number: 38
» Operations Research and Reliability » LPP Computational Methods
Appeared in Year: 2015
Describe in Detail
Solve the following problem Simplex method.
Maximize Z = 8x_{1}+6x_{2}
Subject to
x_{1}+x_{2 } ≤ 10
2x_{1}+3x_{2} ≤ 25
x_{1}+5x_{2} ≤ 35
x_{1}, x_{2} ≥ 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 constraintequations

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
Si…
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Question number: 39
» Statistical Quality Control » Acceptance Sampling by Attributes
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 to accept or reject the lot is based on a single sample. Select a …
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Question number: 40
» Statistical Quality Control » Control Charts » Variable
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 chart.
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
Sample No.  Observations  Total  Sample Mean ()  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  2.3  2.3  2.4  2.5  2.4  11.90  2.… 
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