Given are following data : Xbar = Process mean = 49 grams Rbar = Average Range =

Question

Given are following data :

Xbar = Process mean = 49 grams

Rbar = Average Range = 6 grams

Sample size = n = 7 packets

Following are the values of constants for n = 7 as derived from standard table for Xbar and Range chart:

A2= 0.419

D4 = 1.924

D3 = 0.076

Range chart :

Upper Control Limit = UCLr = D4.Rbar = 1.924 x 6 = 11.544 grams

Lower Control Limit = LCLr = D3.Rbar = 0.076 x 6 =      0.456 grams

Xbar chart :

Upper control Limit = UCLx = Xbar + A2.Rbar = 49 + 0.419 x 6 grams = 49 + 2.514 = 51.514 gm

Lower Control Limit = LCLx = Xbar – A2.Rbar = 49 – 0.419 x 6 grams = 49 – 2.514 = 46.486 gm

Conclusion on results of last 5 samples :

All values of Xbar are within range 46.486 gm – 51.514 gm

All values Rbar are within range 0.456 – 11.544 gm

THE PROCESS VARIABILITY IS UNDER STATISTICAL CONTROL AND THE PROCESS AVERAGE IS UNDER STATISTICAL CONTROL . THEREFORE ENTIRE PROCESS IS UNDER CONTROL

THE PROCESS VARIABILITY IS UNDER STATISTICAL CONTROL AND THE PROCESS AVERAGE IS UNDER STATISTICAL CONTROL . THEREFORE ENTIRE PROCESS IS UNDER CONTROL

Explanation / Answer

The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 49 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 7 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 6 grams. B Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. a. Design an R. and an X-chart for this process. The UCLR equals Igrams and the LCLR equals Igrams. (Ener you response rounded to two decimal places) The UCL; equals grams and the LCL; equals Igrams. (Enter your responses rounded to two decimal places) b. The results from the last 5 samples of 7 packets are shown below. Is the process in control? Explain. Sample 50 48 on Non Un The process variability is statistical control and the process average is statistical control. Therefore, the entire process is control.

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