# Evaluate 5.2 Problem 17

Management at Webster, in Problem 16, is now concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of 144. Several boxes are inspected, and the following numbers of leaking tubes are found (see attached table).

Calculate p-chart three sigma control limits to assess whether the capping process is in statistical control.

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# Sheet1

xxxxxxxxxxxxxxxxxxxxxxxxx | xxxxx | ||

1 | x | ||

x | 5 | ||

x | 3 | ||

x | x | p= xxxxxxx 0.5 | |

5 | 2 | ||

6 | x | ||

x | x | ||

8 | x | ||

9 | 4 | ||

xx | 9 | ||

11 | 2 | ||

xx | x | ||

xx | 5 | ||

xx | x | UCL= 0.5 x 3 xxxx (0.5 X 0.5)/144= | 0.5 +0.042= xxxxx |

xx | x | ||

xx | x | xxxx 0.5-0.042 x 0.458 | |

xx | x | ||

18 | x | ||

19 | 2 | ||

xx | x | ||

Total | 72 |

# xxxxxx

# xxxxxx

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