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

a) Standard deviation of the sampling means = ____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?

Yes/no