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