Refer to

Table S6.1 - Factors for Computing Control Chart Limits (3 sigmas) for this problem. 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
1	2	3	4	5	6	7	8	9	10
10	14	14	10	11	10	10	13	8	9
8	11	8	9	9	9	12	10	8	11
11	13	10	10	9	8	9	9	11	10
10	14	11	9	10	11	7	9	13	8
13	12	10	9	9	9	8	9	9	11

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?

(1)

.Based on the R-chart, is one or more samples beyond the control limits?

(2)

.

1: Definition

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

(1)

Yes

No

(2)

Yes

No

a) Standard deviation of the sampling means = ? ???

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

UCLx = ???

LCLx = ??

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?

Based on the R-chart, is one or more samples beyond the control limits?

Thank you so much for your help ..