Management at Webster, in Problem 7, 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 situ- ation. Tubes are packaged in large boxes of 144. Several boxes are inspected, and the following numbers of leak- ing tubes are found: Sample Tubes Sample Tubes Sample Tubes 1 3 8 6 15 5 2 5 9 4 16 0 3 3 10 9 17 2 4 4 11 2 18 6
5 2 12 6 19 2
6 4 13 5 20 1 7 2 14 1 Total 72 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control.