Question

Given the following population:

8          10        14        16        18

a. Calculate the population mean and variance                                                                      

b. List all the possible samples of size 2 and calculate their means (sampling is without replacement and order is not important)                                                                     

c. Use your answer to part (b) to find the mean and the standard error of the mean

Answer 1

Solution-

a)

b)

c) from samples mean and variance is calculated-

standard error for samples = standard deviation / √n

= √(5.73 /10)

= 0.76