Question

a sticky scale brings webster’s attention to whether caulking tubes are being properly capped. if a significant proportion of the tubes aren’t being sealed, webster is placing their customers in a messy situation. tubes are packaged in large boxes of 144. several boxes are inspected and the following number of leaking tubes are found. calculate the three-sigma control limits to assess whether the capping process is in statistical control.

Answer 1

0.064 the three-sigma control limits to assess whether the capping process is in statistical control.

Total number of leaked tubes = 72

Total number of tubes = 144*20 = 2880

Pbar = 72/2880 = 0.025

Number of tubes in each box (n) = 144

We need to calculate Lower and Upper control limits for P-chart which can be calculated as

LCLp = Pbar - 3*√Pbar * (1 - Pbar)/n  = 0.025

UCLp = Pbar + 3* √Pbar * (1 - Pbar)/n  = 0.025

- 3* √0.025 * (1 - 0.025)/144  = 0.025 - 0.039 = -0.014 or 0

+ 3* (1 - 0.025)/144  = 0.025 + 0.039 = 0.064.

Statistical Control is a quality control method that uses statistical techniques to monitor and control processes.

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