Sample Size, n	Mean Factor, A2	Upper Range D4	Lower Range, D3
2	1.880	3.268	0
3	1.023	2.570	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

a) Standard deviation of the sampling means? = __ounces ?(round your response to three decimal? places).?

b) With z =3, the control limits for the mean chart are:

UCLx = ___ ounces ?(round your response to three decimal? places).

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

C) The control limits for the? R-chart are:

UCLr = ____ 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

A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n = 5) taken. The population process standard deviation is 1.64. Samples 5 2 3 4 8 9 10 11 12 8 9 11 9 11 10 1 10 9 9 8 11 12 8 10 10 9 7 10 10 9 8 8 9 13 11 12 10 11 10 7 11 9 10 11 10 11 13 9 8 12 9 11 7 10 9 9 12 8 12