A finite population consists of four elements: 6, 1, 4, 2. (a) How many differen

Question

A finite population consists of four elements: 6, 1, 4, 2.

(a) How many different samples of size n = 2 can be selected from this population if you sample without replacement? (Sampling is said to be without replacement if an element cannot be selected twice for the same sample.)
samples

(b) List the possible samples of size n = 2. (Enter your answers as a comma-separated list. Enter samples in the form (a, b), with the smaller value first.)

(c) Compute the sample mean for each of the samples given in part (b). (Enter your answers as a comma-separated list.)

e) If all four population values are equally likely, calculate the value of the population mean . (Enter your answer to two decimal places.)
=  

Explanation / Answer

a)number of samples n=4*3 =12

b) below are list of samples :

c) sample mean corresponding to given sample:

e) value of the population mean =(6+1+4+2)/4 =3.25

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