The Canine Gourmet Company produces delicious dog treats for canines with discri

Question

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 48 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 7 grams. 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 equalsgrams and the LCLR equalsgrams. (Enter your response rounded to two decimal places.) More Info Factors for calculating three-sigma limits for the x-chart and R-chart Size of Sample Factor for UCL and LCL Factor for LCL for R-Chart (D3) Factor for UCL for R-Chart (D4) for x-chart (A2) 2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0 0 0 0 0.076 0.136 0.184 0.223 3.267 2.575 2.282 2.115 2.004 1.924 1.864 1.816 4 10

Explanation / Answer

Mean = x-double bar = 48

Range = R-bar = 7

Sample size = n = 7

Form the above table, for n=7, A2=0.419; D3=0.076; D4=1.923

UCLR = D4*R-bar = 1.923*7 = 13.461

LCLR = D3*R-bar = 0.076*7 = 0.532

UCLx = x-double bar + A2*R-bar = 48 + 0.419*7 = 50.93

LCLx = x-double bar - A2*R-bar = 48 - 0.419*7 = 45.07

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