The Mean of the Sampling Distribution of Sample Means Is

question 12

Multiple Choice

The mean of the sampling distribution of sample means is

• A)equal to the population mean
• B)equal to the population variance
• C)both A and B
• D)none of the above

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Definitions:

Ungrouped Data

Data that has not been organized into groups or categories and is presented in its raw form.

Bell-Shaped

Describes the graphical shape of a distribution that is symmetrical and has a single peak in the middle, resembling a bell; commonly associated with the normal distribution.

Standard Deviation

An index quantifying the spread or variability among a collection of numbers, where a smaller standard deviation suggests the numbers are closely clustered around the average.

Tchebysheff's Theorem

A statistical theorem stating that, for any real-valued random variable, the proportion of values lying within k standard deviations from the mean is at least 1-1/k^2, for k > 1.