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A Quality Analyst Wants to Construct a Sample Mean Chart

question 48

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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 under control,package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each with the following results: 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 under control,package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each with the following results:   If he uses upper and lower control limits of 23 and 17 ounces,what is his risk of concluding this process is in control when it is actually out of control (Type II 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 23 and 17 ounces,what is his risk of concluding this process is in control when it is actually out of control (Type II error) ?


Definitions:

IRR

A financial metric, the Internal Rate of Return evaluates the potential profitability of investments.

NPV

A financial analysis method that calculates the difference between the present value of cash inflows and outflows over a period of time, used to assess the worth of investments or projects.

Mutually Exclusive

Events or projects that cannot both occur at the same time, where the selection of one excludes the possibility of the other.

Independent

Not influenced or controlled by others in matters of opinion, conduct; not depending on another's authority.

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