Score: 0 of 6 pts 1 of 4 (0 complete) HW Score: 0%, 0 of 25 Problem 3 Question H

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Score: 0 of 6 pts 1 of 4 (0 complete) HW Score: 0%, 0 of 25 Problem 3 Question Help The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filing line to be set so that the process average weight per packet is 47 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 Click the icon to view the table of factors for calculating three-sigma limits for the i-chart and R-chart a. Design an R- and an xchart for this process. The UCLR equals 11.54 grams and the LCLR equals 0.46 grams. (Enter your response rounded to two decimal places ) The UCL equals grams and the La; equals grams. Enter your responses ronded to two decimal places)

Explanation / Answer

Given values:

Sample size (n) = 7 packets

Average weight per packet, X-bar = 47 grams

Range, R = 6 grams

Solution:

(a) The Upper Control Limit (UCLr) and Lower Control Limit (LCLr) of R-chart are calculated as below:

UCLr = D4 x R

LCLr = D3 x R

From the given table of factors for calculating three-sigma limits for the X-bar chart and R-chart,

For n = 7,

A2 = 0.419

D3 = 0.076

D4 = 1.924

UCLr = D4 x R = 1.924 x 6

UCLr = 11.54 grams

LCLr = D3 x R = 0.076 x 6

LCLr = 0.46 grams

The Upper Control Limit (UCLx) and Lower Control Limit (LCLx) of X-bar chart are calculated as below:

UCLx = X-bar + (A2 x R)

UCLx = 47 + (0.419 x 6)

UCLx = 49.51 grams

LCLx = X-bar - (A2 x R)

UCLx = 47 - (0.419 x 6)

UCLx = 44.49 grams

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