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Population 1 has a mean of 20 and a variance of 100. Population 2 has a...

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

Math   Statistics-And-Probability   
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Answer #1

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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