To draw the 3-sigma X-bar chart and R-chart parameters.
A candy bar manufacturer desires to set up a variables control chart for the net weight of its candy bars. It is not exactly clear what charts should be used. A total of 60 candy bar weights (in grams) were obtained and are displayed in the following table.
|
Sample Number
|
Candy Bar 1
|
Candy Bar 2
|
Sample Number
|
Candy Bar 1
|
Candy Bar 2
|
|
1
|
62.671
|
61.740
|
16
|
61.228
|
62.239
|
|
2
|
62.246
|
62.381
|
17
|
62.305
|
61.37
|
|
3
|
61.545
|
59.456
|
18
|
61.286
|
61.483
|
|
4
|
62.233
|
61.409
|
19
|
61.557
|
61.477
|
|
5
|
59.108
|
61.664
|
20
|
62.147
|
61.476
|
|
6
|
61.415
|
60.276
|
21
|
62.333
|
61.675
|
|
7
|
61.872
|
61.979
|
22
|
60.608
|
63.635
|
|
8
|
62.197
|
61.308
|
23
|
60.907
|
60.126
|
|
9
|
60.603
|
61.228
|
24
|
60.89
|
60.231
|
|
10
|
62.007
|
61.305
|
25
|
63.044
|
60.430
|
|
11
|
61.171
|
59.542
|
26
|
60.677
|
61.664
|
|
12
|
62.323
|
61.751
|
27
|
61.284
|
62.112
|
|
13
|
60.707
|
61.921
|
28
|
60.343
|
61.068
|
|
14
|
62.467
|
60.445
|
29
|
61.42
|
61.122
|
|
15
|
59.711
|
60.881
|
30
|
62.146
|
60.837
|
a. Set up the 3-sigma X-bar chart and R chart parameters, centerline, and the control limits (n=2).