Question

The data below represent the number of days absent per year in a population of three employees of a small company:

Answer 1

The sampling distribution is illustrated below.

How to illustrate the sampling?

Based on the information given, the population is illustrated as 1, 4, 7. The sample without replacement will be:

Sample Mean

1 and 4. 2.5

1 and 7. 4

4 and 7. 5.5

The population mean will be:

= (1 + 4 + 7)/3

= 4

The sample mean is an unbiased estimator of the population mean.

The sampling with replacement illustrates that the mean will be:

= 36/9 = 4

Also, when n = 3, the number of samples will be:

= 3³ = 27

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