A Quality Analyst Wants to Construct a Sample Mean Chart

question 22

Multiple Choice

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, on what day(s) , if any, does this process appear to be out of control?

• A)Monday
• B)Tuesday
• C)Monday and Tuesday
• D)Monday, Tuesday, and Thursday
• E)None

Explain the use of operating characteristic curves in determining the performance of a hypothesis test.

Understand the concept of hypothesis testing and its application to real-world scenarios.

Calculate the power of a test and understand its implications in hypothesis testing.

Analyze the effects of varying significance levels (α) on Type II error (β) and the power of a test.

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Definitions:

Normally Distributed

Describes a statistical distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.

Mean

The average value of a set of numbers, indicating the central point of a data distribution.

Standard Normal

A normal distribution with a mean of zero and a standard deviation of one, used as the basis for z-scores in statistics.

Standard Deviation

A metric that calculates how much a dataset's values spread out or diverge from their average.