If n 10 observations are randomly sampled from a


1. Describe the two components of a random sample.

2. If n = 10 observations are randomly sampled from a distribution with mean µ = 9 and variance σ2 = 8, what is the mean and variance of the sample mean?

3. Determine E(X‾) and σx2 for a random sample of n = 12 observations from a discrete distribution with the following probability function:

X:

1

2

3

4

P(x):

.2

.1

.5

.2

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