Answer:
The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.
Step-by-step explanation:
Total number of lottery tickets = 6
Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = [tex]\left[\begin{array}{ccc}6\\4\end{array}\right][/tex] = 15.
Now the population mean is given by [tex]\frac{1}{n}[/tex] × ∑ x , where n is the number of lottery tickets and ∑ x is the sum of the lottery numbers.
Summation of the lottery ticket numbers is 162
Thus the population mean is given by [tex]\frac{162}{6}[/tex] = 27.