Question: 3. Given a sample, {x1,x2,,xn}, from a random variable X with mean muX and variance X2, and is not random, please answer the following questions.

3. Given a sample, {x1,x2,,xn}, from a random variable X with

3. Given a sample, {x1,x2,,xn}, from a random variable X with mean muX and variance X2, and is not random, please answer the following questions. (a) What is the mean of the sampling distribution of sample observation x2 ? (b) What is the variance of the sampling distribution of sample observation x5 ? (c) Are x2 and x5 unbiased for X ? (d) Are x2 and x5 consistent for X ? (e) What is the mean of the sampling distribution of sample mean xn=i=1nxi ? (f) What is the variance of the sampling distribution of sample mean xn=i=1nxi ? (g) Is xn unbiased and consistent for X ? (h) What is the sampling distribution of xn as the sample size n is large enough

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