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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:

Aerobic Bacteria

Bacteria that require oxygen for their growth and survival, playing essential roles in processes such as composting and in the treatment of sewage.

Oxygen-demanding Waste

Organic waste material that reduces oxygen levels in water bodies as microorganisms consume oxygen to decompose this waste.

Organic Chemicals

Compounds containing carbon that are found in or produced by living systems.

Thermal Water Pollution

Pollution caused by discharging hot water or industrial effluents into rivers or seas, affecting aquatic life and ecosystems.

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