Which of the Following Is True About the Sampling Distribution $\sigma$

question 7

Multiple Choice

Which of the following is true about the sampling distribution of the sample mean?

• A) Its mean is always equal to
• B) Its standard error is always equal to the population standard deviation \(\sigma\).
• C) Its shape is exactly normal if n is large enough.
• D) None of these choices.

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Definitions:

Control Chart

A tool used in statistical quality control to monitor, control, and identify whether a manufacturing or business process is in a state of statistical control.

Control Limits

Control limits are statistical boundaries set in quality control processes to identify when a process is out of control or exhibits unusual variability.

Standard Errors

Estimates of the standard deviation of a sampling distribution, indicating the precision of an estimate.

Average Run Length

In statistical process control, it refers to the expected number of submissions to a process before a signal indicates a potential process control failure.