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 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

1.36.

Samples Item 1 Item 2 Item 3 Item 4 Item 5

1 11 9 11 8 12

2 14 11 12 14 11

3 12 9 10 9 9

4 11 10 10 9 11

5 13 9 10 11 10

6 10 10 7 13 10

7 9 10 9 8 10

8 12 11 7 9 7

9 8 9 11 11 10

10 9 11 10 7 13

a) Standard deviation of the sampling means =

nothing

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-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?

No

Yes

.