Question: A process that is considered to be in control measures an ingredient in ounces. Below are the last 5 samples (each of size n =

A process that is considered to be in control measures an ingredient in ounces. Below are the last 5 samples (each of size n = 5) taken. The population process standard deviation is 1.36.

Sample

Observations

1

9, 8, 10, 10, 11

2

13, 12, 12, 14, 11

3

12, 10, 10, 9, 10

4

11, 10, 10, 11, 10

5

12, 9, 8, 11, 10

For each question, you must show both explanation (calculation) and the final answer.

(a) Find five sample means (five sample averages). Carry one decimal place.

(b) Find the X double-bar (X bar-bar). Carry two decimal places.

(c) With Z=3, what are the control limits (UCL & LCL) for the X-bar chart? Carry two decimal places.

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