If n 10 observations are randomly sampled from a


If n = 10 observations are randomly sampled from a distribution with mean µ = 9 and variance σ 2 = 8, what is the mean and variance of the sample mean?

2. Suppose you randomly sample n = 12 observations from a discrete distribution with the following probability function.

X:

1

2

3

4

P(x):

.2

.1

.5

.2

Determine E(X‾) and σ2x.

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Basic Statistics: If n 10 observations are randomly sampled from a
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