In a population of size N = 6, the observations were 3, 4, 7, 9, 11, 14. Draw all possible SRSWOR of size 2.
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Step-by-step explanation:
To draw all possible SRSWOR (Simple Random Sampling Without Replacement) of size 2 from a population of size N = 6 with observations 3, 4, 7, 9, 11, and 14, we can use the following formula:
Number of possible samples = N*(N-1)/2
Substituting N = 6, we get:
Number of possible samples = 6*(6-1)/2 = 15
So, there are 15 possible SRSWOR of size 2 that we can draw from the given population. Here they are:
(3, 4)
(3, 7)
(3, 9)
(3, 11)
(3, 14)
(4, 7)
(4, 9)
(4, 11)
(4, 14)
(7, 9)
(7, 11)
(7, 14)
(9, 11)
(9, 14)
(11, 14)
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