Question

A population consists of 3 numbers: 2, 10 and 6. You randomly select a sample of...

A population consists of 3 numbers: 2, 10 and 6. You randomly select a sample of 2 observations without replacement and calculate the sample mean. The variance of the sample mean is _____.

Group of answer choices

4

8/3

4/6

0 0
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Answer #1

The observations taken 2 at a time are:

(2, 10), (2, 6), (10, 6), (10, 2), (6, 2), (6, 10)

Sample means are: 6, 4, 8, 6, 4, 8

Hence,

Variance of sample means

= var(6, 4, 8, 6, 4, 8) [Excel Formula]

= 8/3

Option B is correct.

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