(1 point) A random sample of n values is taken from a population. The mean and s

Question

(1 point) A random sample of n values is taken from a population. The mean and standard deviation of this sample, X and S are then computed. Consider the following statement: Is this equation always true? A. No, this equation in only true sometimes B. No, this equation is always false C. Yes, but only if the sample is chosen randomly D. Yes, but only if the sample is taken from a population of values that appears to follow a Normal distribution E. Yes, this equation is always true. F none of the above

Explanation / Answer

Yes this equation is always true.

Consider below example where I have chosen 7 random numbers between 0 to 10 and find the mean and sum of (xi - xbar)

I see the sum of (xi - xbar) comes to zero.

2 -3.28571 5 -0.28571 9 3.714286 8 2.714286 9 3.714286 4 -1.28571 0 -5.28571 Mean 5.285714 0

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