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 1.20.

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

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

a) Standard deviation of the sampling means = 0.5370.537 ounces (round your response to three decimal places).

b)with x=3, the control limits for the mean chart are: UCLx=? ounces (round your response to three decimals) LCLx=? ounces(round your response to three decimals)

c) the control limits for the R-chart are: UCLr=? ounces (round your response to three decimals) LCLr =?ounces (round your response to three decimals)

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