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A Quality Analyst Wants to Construct a Sample Mean Chart

question 46

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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 whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each   If he uses upper and lower control limits of 22 and 18 ounces, what is his risk (alpha) of concluding this process is out of control when it is actually in control (Type I error) ? A) 0.0026 B) 0.0456 C) 0.3174 D) 0.6826 E) 0.9544
If he uses upper and lower control limits of 22 and 18 ounces, what is his risk (alpha) of concluding this process is out of control when it is actually in control (Type I error) ?


Definitions:

Carbohydrate

An organic combination of carbon, hydrogen, and oxygen as a sugar, a starch, or cellulose.

Organic Combination

A natural or seamless integration or union of elements, substances, or components.

Oxygen

A colorless, odorless, tasteless gas found in the air; chemical symbol, O2.

Binge

A spree; to overindulge, such as with alcohol or food.

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