A process that is considered in control measures liquid in ounces. Below are the last 12 samples taken. The sample size =4.
Sample 1 2 3 4
1 20.2 20.1 19.8 19.9
2 19.9 19.9 19.7 20.1
3 19.8 19.9 20.0 20.1
4 20.1 19.9 19.9 19.8
5 19.8 20.1 20.1 19.9
6 19.7 19.6 19.7 19.4
7 20.2 20.1 19.9 19.9
8 20.1 20.1 19.8 19.7
9 20.0 19.9 20.1 19.8
10 19.9 19.8 20.1 19.9
11 20.1 20.1 19.8 19.9
12 19.9 19.4 19.7 19.8
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