# Statistical Quality Control [ISS (Statistical Services) Statistics Paper IV]: Questions 1 - 2 of 34

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## Question number: 1

» Statistical Quality Control » Control Charts » Variable

### Describe in Detail

Following is the data of 25 samples with 4 observations on the basis of volume of the bottles filled. Using a control limits for chart, test whether the production is under control?

Sample No. | Observations | Sample No. | Observations | |||||||

1 | 15.85 | 16.02 | 15.83 | 15.93 | 13 | 15.85 | 15.76 | 15.74 | 15.98 | |

2 | 16.12 | 16.00 | 15.85 | 16.01 | 14 | 15.73 | 15.84 | 15.96 | 16.10 | |

3 | 16.00 | 15.91 | 15.94 | 15.83 | 15 | 16.20 | 16.01 | 16.10 | 15.89 | |

4 | 16.20 | 15.85 | 15.74 | 15.93 | 16 | 16.12 | 16.08 | 15.83 | 15.94 | |

5 | 15.74 | 15.86 | 16.21 | 16.10 | 17 | 16.01 | 15.93 | 15.81 | 15.68 | |

6 | 15.94 | 16.01 | 16.14 | 16.03 | 18 | 15.78 | 16.04 | 16.11 | 16.12 | |

7 | 15.75 | 16.21 | 16.01 | 15.86 | 19 | 15.84 | 15.92 | 16.05 | 16.12 | |

8 | 15.82 | 15.94 | 16.02 | 15.94 | 20 | 15.92 | 16.09 | 16.12 | 15.93 | |

9 | 16.04 | 15.98 | 15.83 | 15.98 | 21 | 16.11 | 16.02 | 16.00 | 15.88 | |

10 | 15.64 | 15.86 | 15.94 | 15.89 | 22 | 15.98 | 15.82 | 15.89 | 15.89 | |

11 | 16.11 | 16.00 | 16.01 | 15.82 | 23 | 16.05 | 15.73 | 15.73 | 15.93 | |

12 | 15.72 | 15.85 | 16.12 | 16.15 | 24 | 16.01 | 16.01 | 15.89 | 15.86 | |

25 | 16.08 | 15.78 | 15.92 | 15.98 |

### Explanation

From the above data we get

From the tables, for n = 4, we have, ,

**Control limits for** **:**

=0

Since the sample points fall within

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## Question number: 2

» Statistical Quality Control » Control Charts » Variable

### Describe in Detail

Which control charts are used for continuous data? What is the chart we use to test the quality characteristics of a product such as diameter of a screw known as?

### Explanation

Variable data are measured on a continuous scale. Control chart for variables are applied to data with continuous distribution. And and R charts are two types of variable charts. Continuous data can take infinite number of values between whole numbers. For example: Age, time, weight, distance or temperature can be measured in fractions or

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