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A Quality Analyst Wants to Construct a Sample Mean Chart

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A quality analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that the process standard deviation is two ounces.Each day last week,he randomly selected four packages and weighed each.The data from that activity appear below.
A quality analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that the process standard deviation is two ounces.Each day last week,he randomly selected four packages and weighed each.The data from that activity appear below.    (a)Calculate all sample means and the mean of all sample means. (b)Calculate upper and lower 2-sigma x-bar chart control limits that allow for natural variations. (c)Based on the x-bar chart,is this process in control? (a)Calculate all sample means and the mean of all sample means.
(b)Calculate upper and lower 2-sigma x-bar chart control limits that allow for natural variations.
(c)Based on the x-bar chart,is this process in control?


Definitions:

Utilization

To use or make use of.

Food Substances

Components or ingredients used in the making of food, which can range from basic natural products to artificially produced compounds.

Vitamins

Organic compounds that are essential in small amounts for the body to maintain health, usually obtained through diet.

Organic Substances

Compounds that contain carbon and are found in living organisms.

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