Answer to Question #331236 in Statistics and Probability for Emss

Question #331236

Consider a population consisting of 3, 6, 7, 9, 10, 4, and 8. Suppose samples of size 2 are drawn from this population. Describe the sampling distribution of sample means. What is the population mean? 


1
Expert's answer
2022-04-21T06:28:53-0400

The population mean is: μ=3+6+7+9+10+4+876.714\mu=\frac{3+6+7+9+10+4+8}{7}\approx6.714. All samples of size 22 and their means are given in the table:


There are 2121 different samples of size 2.

The sampling distribution of sample means is given in the following table:



Thus, the sampling distribution of sampling means is given in the table above. The population mean is approximately equal to 6.7146.714.


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