A Population Consists of the Following Four Values: 8, 10

question 44

Essay

A population consists of the following four values: 8, 10, 12, and 16. From this population, there are six different samples of size 2. The means of the six samples of size 2 are 9, 10, 12, 11, 13, and 14. Compute the mean of the distribution of the sample means and the population mean. What is true about the two values?

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Definitions:

Random Variable

A variable with numerical outcomes derived from random occurrences.

Standard Normal

Refers to a normal distribution with a mean of 0 and a standard deviation of 1, used as a basis for comparing and standardizing normal distributions.

Random Variable

A variable whose outcomes depend on the results of a random phenomenon.

Normally Distributed

Refers to a data distribution that follows a bell-shaped curve, characterized by data clustering around a mean or central value.