Population 1 has a mean of 20 and a variance of 100. Population 2 has a mean of 15 and a variance of 64. You sample 20 objects from Population 1 and 16 objects from Population-2. What is the mean and the variance of the sampling distribution of the difference between population means (Pop.1 – Pop.2); respectively?
5 and 2
5 and 9
5 and 3
None of the above
Answer: 5 and 9
Explanation:
= 20, = 100, n1 = 20
= 15, = 64, n2 = 16
the mean of the sampling distribution of the difference between population means is
= 20 - 15
= 5
the variance of the sampling distribution of the difference between population means is
=
= 5 + 4
= 9
Answer = 5 and 9
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