Q1. The following data give the years of teaching experience for all five faculty members of

a department at a North South University. Let y denote the years of teaching experience

for a faculty member of this department.

7 8 14 7 20

a) Write down the population probability distribution of y.

b) List all possible samples of size two that can be selected without replacement.

c) Calculate the mean for each of these samples.

d) Write down the sampling distribution of y (sample mean).

e) Calculate the mean for the population data. Select one random sample of size three

and calculate the sample mean y. Compute the sampling error.