Table S6.1

Sample Size, n	Mean Factor, A2	Upper Range, D4	Lower Range, D3
2	1.880	3.268	0
3	1.023	2.574	0
4	0.729	2.282	0
5	0.577	2.115	0
6	0.483	2.004	0
7	0.419	1.924	0.076
8	0.373	1.864	0.136
9	0.337	1.816	0.184
10	0.308	1.777	0.223
12	0.266	1.716	0.284

Samples Item 1 Item 2 Item 3 Item 4 Item 5 1 9 10 10 10 11 2 9 8 10 12 11 3 14 8 9 10 8 4 10 11 11 11 9 5 12 10 10 10 11 6 10 11 9 11 9 7 11 10 9 8 9 8 12 15 7 11 7 9 8 8 12 12 8 10 11 13 8 7 13

The control limits for the R-chart are:

UCLR= enter your response here ounces (round your response to three decimal places).

LCLr = ____ ounces ?(round your response to three decimal? places)

d) Based on the x overbarx?-chart, is one or more samples beyond the control? limits? Yes/No

Based on the? R-chart, is one or more samples beyond the control? limits? Yes/No