Canine Gourmet Company Produces Delicious Dog Treats Canines Discriminating Tastes Managem Q30914850
The Canine Gourmet Company produces delicious dog treats forcanines with discriminating tastes. Management wants thebox-filling line to be set so that the process average weight perpacket is 41 grams. To make sure that the process is in control,an inspector at the end of the filling line periodically selects arandom box of 10 packets and weighs each packet. When the processis in control, the range in the weight of each sample has averaged6 grams.
Factors for calculating three-sigma limits for the
x overbarx-chart
and R-chart
|
Size of Sample(n) |
Factor for UCL and LCLfor
x overbarx-chart (Upper A2A2) |
Factor for LCLforR-Chart
(Upper D3D3) |
Factor for UCLforR-Chart
(Upper D4D4) |
|
2 |
1.880 |
00 |
3.267 |
|
3 |
1.023 |
00 |
2.575 |
|
4 |
0.729 |
00 |
2.282 |
|
5 |
0.577 |
00 |
2.115 |
|
6 |
0.483 |
0 |
2.004 |
|
7 |
0.419 |
0.076 |
1.924 |
|
8 |
0.373 |
0.136 |
1.864 |
|
9 |
0.337 |
0.184 |
1.816 |
|
10 |
0.308 |
0.223 |
1.777 |
a. Design an R- and an x overbarx-chart forthis process.
The UCL Subscript Upper RUCLR equals ___ grams and the LCLSubscript Upper RLCLR equals ___ grams.
(Enter your response rounded totwo decimal places.)
The UCL Subscript x overbarUCLx equals ____grams and the LCLSubscript x overbarLCLx equals___grams. (Enteryour responses rounded to two decimalplaces.)


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