Statistics II - Old Questions

1. Describe the concept of sampling distribution of mean with reference to the population data (20, 21, 22 & 23) of size 4. In order to explain this, perform simple random sampling with replacement taking all possible samples with sample size n =2. While describing the sampling distribution following issues will be covered.

I. Population mean & population variance, and its distribution

II. Sample mean & sample variance, and its distribution

III. Comparison of population mean and sample mean; population variance and sample variance; population distribution and sampling distribution based on the given data.

IV. Standard error of mean

V. Final comments based on your result.