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Let the population be given by the numbers {-2, -1, 0, 1, 2}. Take all random samples of size 3.

(a) Without replacement, obtain the following in each case.

(i) The sampling distribution of the sample mean.

(ii) The sampling distribution of the sample median.

(iii) The sampling distribution of the sample standard deviation.

(iv) The mean and variance of the sample mean.

(b) How many samples of size 3 can we get, if we sample with replacement?

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Category:- Statistics and Probability
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