# ISS (Statistical Services) Statistics Paper IV: Questions 12 - 15 of 79

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## Question number: 12

» Statistical Quality Control » Acceptance Sampling by Attributes

### Describe in Detail

What is Type –I Error? What is type-II error? What is probability of rejecting a lot which contains acceptable quality level known as?

### Explanation

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## Question number: 13

» Statistical Quality Control » Control Charts » Variable

### Describe in Detail

Six samples, which contain 20 observations per sample, have been collected and the sample means and sample ranges are computed as shown below. Test whether the sample means are within control limits for ?

Sample | Mean | Range |

1 | 3.06 | 0.42 |

2 | 3.15 | 0.5 |

3 | 3.11 | 0.41 |

4 | 3.13 | 0.46 |

5 | 3.06 | 0.46 |

6 | 3.09 | 0.45 |

### Explanation

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## Question number: 14

» Statistical Quality Control » Control Charts » Variable

### Describe in Detail

Construct a control chart for mean for the following data based on fuses, samples of 5 being taken every hour. Check whether the production is under control?

Sample No. | Observations | |||||

1 | 42 | 65 | 75 | 78 | 87 | 87 |

2 | 42 | 45 | 68 | 72 | 90 | 90 |

3 | 19 | 24 | 80 | 81 | 81 | 81 |

4 | 36 | 54 | 69 | 77 | 84 | 84 |

5 | 42 | 51 | 57 | 59 | 78 | 78 |

6 | 51 | 74 | 75 | 78 | 132 | 132 |

7 | 60 | 60 | 72 | 95 | 138 | 138 |

8 | 18 | 20 | 27 | 42 | 60 | 60 |

9 | 15 | 30 | 39 | 62 | 84 | 84 |

10 | 69 | 109 | 113 | 118 | 153 | 153 |

11 | 64 | 90 | 93 | 109 | 112 | 112 |

12 | 61 | 78 | 94 | 109 | 136 | 136 |

Total | 859.2 | 716 |

### Explanation

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## Question number: 15

» Statistical Quality Control » Acceptance Sampling by Attributes

### Describe in Detail

a) What is the small percentage of defects that consumers are willing to accept?

b) What is upper limit of the percentage of defective items consumers are willing to tolerate?

c) What is probability that a lot will be accepted that contains a greater number of defects than the LTPD limit known as?

### Explanation

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