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