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:

Two-way ANOVA

A method in statistics for examining how two nominal variables predict the behavior of a continuous response variable.

Factor A

Represents a specific variable or condition in an experiment or study that is manipulated to determine its effect on an outcome.

Two-way ANOVA

A statistical analysis technique used to analyze the effects of two independent variables on a dependent variable and their interaction.

Interaction Effect

A statistical concept in which the effect of two or more variables is not simply additive, indicating that these variables interact in predicting a particular outcome.