Question

Five gentlemen went to Molesky’s restaurant for all-you-can-eat wings. Mr. Andreasen ate 6 wings, Mr. Betz ate 24 wings, Mr. Henricksen ate 18 wings, Mr. Osters ate 20 wings, and Mr. Tyson ate 32 wings.


List all 10 possible SRSs of size n = 2, calculate the mean number of wings eaten for each sample, and display the sampling distribution of the sample mean on a dotplot.





Is the sample mean an unbiased estimator of the population mean? Justify your answer.














If we increase the sample size, does the variability of the sampling distribution change? Explain

Answer 1

The sampling computed simply illustrates that the population mean will be 20.

How to solve the sampling

It should be noted that the population mean will be calculated thus:

= (6 + 24 + 18 + 20 + 32)/5

= 100/5

= 20

It can be deduced that the sample mean is an unbiased estimator of the population mean.

Lastly, when there's an increase in the sample size, the variability of the sampling distribution change. This is because there's a reduction.

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