# Advance Problem #30

1422 WordsNov 2, 20126 Pages
Summary Beaver Brothers, Inc. is conducting a study to assess the accuracy, and consistency of their 150-gram bar soap production line. They are interested in seeking; the reliability, average weight and range of each soap bar. By conducting this study Beaver Brothers, Inc. wants to see the consistency of their machines, dependability of their marketing tools and the level of assurance that they are promoting and supplying trustworthy products to their consumers. Beaver Brother, Inc. achieves their wanted information by collecting 25 samples of 5 observations and recorded the data in a table. The task is to use these collected samples to create; means, graphs, and tables to present the data and draw conclusions about the production line.…show more content…
The greater the Cp and the closer the Cpk is to the Cp, indicates a higher level of working capacity. These values can be calculated using the Process Capability module on the POM software. Parameter Value Results Value Upper tolerance limit 170 Process capability index 0.08 The actual process capability is Cpk = -0.08 Lower tolerance limit 162 Upper one sided index 0.8392 The potential process capability is Cp = 0.4596 Mean (optional) 162.6959 Lower one sided index 0.08 Standard deviation 2.9012 Table 1 shows the factors used in finding out the actual results of; Cp, and Cpk from the initial study. With a suggested Cp of 1.33 to demonstrate that the production line is well centered, and working at a high rate, you can see that the initial results do not suggest this. The Cp is well below the recommended index at 0.4596, suggesting that the process needs to be altered to make improvements. It is also visible that the Cpk (0.08) has a much less number in comparison to the Cp. This implies that this process is not working to its full potential. Consequently it is necessary that Beaver Brothers, Inc makes further improvements to create a more centered, higher potential productivity rate. c) After improvements, and collecting more samples the results of the Cp and Cpk are as follows: Parameter Value Results Value Upper tolerance limit 170 Process capability