1. 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 50 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 and weighs each packet. When the process is in? control, the range in the weight of each sample has averaged 7 grams.
|
Size of Sample? (n)
|
Factor for UCL and LCL
for
x?-chart (A2?)
|
Factor for LCL
for? R-Chart
?(D3?)
|
Factor for UCL
for? R-Chart
?(D4?)
|
|
2
|
1.880
|
0
|
3.267
|
|
3
|
1.023
|
0
|
2.575
|
|
4
|
0.729
|
0
|
2.282
|
|
5
|
0.577
|
0
|
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-chart for this process.
The UCLR equals ____grams and the LCLR equals _____grams. ?(Enter your responses rounded to two decimal? places.)
b. The process for the last 5 samples of 7 packets are:
Is the process in control ? Explain