Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma)

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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

1.36.

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

Part 2

a) Standard deviation of the sampling means =

enter your response here

ounces (round your response to three decimal places).

Part 3

b) With z =

3,

the control limits for the mean chart are:

UCLx

=

enter your response here

ounces (round your response to three decimal places).

Part 4

LCLx

=

enter your response here

ounces (round your response to three decimal places).

Part 5

c) The control limits for the R-chart are:

UCLR

=

enter your response here

ounces (round your response to three decimal places).

Part 6

LCLR

=

enter your response here

ounces (round your response to three decimal places).

Part 7

d) Based on the

x-chart,

is one or more samples beyond the control limits?

Yes

No

.

Part 8

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

No

Yes

.