ISS (Statistical Services) Statistics Paper IV: Questions 37 - 41 of 92
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Question 37
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
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
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
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.
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
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.
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
From the tables, for n = 5, we have, ,
Control limits for :
= 0
… (13 more words) …