Let us illustrate the idea of a sampling distribution in the case of a very small sample from a very small population. The population is the scores of 10 students on an exam:
Student 0 1 2 3 4 5 6 7 8 9
Score 82 62 80 58 72 73 65 66 74 62
The parameter of interest is the mean score in this population. The sample is an SRS of size n = 4 drawn from the population.
a) Find the mean of the 10 scores in the population. This is the population mean .