Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) 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 1.20.

a) Standard deviation of the sampling means = 0.537

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?

No

Yes

.

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

Yes

No

.

Sample Size, n 2 3 4 5 67 8 9 10 12 Mean Factor, A 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Upper Range, D4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 Lower Range, D3 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284 1 10 10 11 10 12 2 3 13 14 11 8 13 11 14 11 4 11 11 10 9 9 10 9 Samples 5 6 12 9 10 10 10 7 12 12 11 10 7 9 12 10 8 9 8 14 15 8 11 7 97 7 9 12 12 8 10 9 12 8 7 12 P