# 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 = 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 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) …