一題原文統計的問題

IF S={1

3

5

7}

then consider drawing sample of size 3 without replacementTo find(a) population mean(b) population variance(c) the sampling distribution of sample mean(d) the mean of sample mean(e) the standard deviation of sample mean可以解答一下嘛~感謝
(a) population mean = 1/4 * (1 3 5 7) = 4(b) population variance = 1/4 * ((1 - 4)^2 (3 - 4)^2 (5 - 4)^2 (7 - 4)^2) = 1/4 * (9 1 1 9) = 5(c)sample place S = {{1

3

5}

{1

3

7}

{1

5

7}

{3

5

7}} The sampling dist. of sample mean = {3

3.6667

4.3333

5}(d) the mean of sample mean = 1/4 * (3 3.6667 4.3333 5) = 4(e) the standard deviation of sample mean = sqrt[ 1/3 * ((3 - 4)^2 (3.6667 - 4)^2 (4.3333 - 4)^2 (5 - 4)^2) ]= sqrt[ 1/3 * (1 1/9 1/9 1) ]= sqrt[ 20/27 ] = 0.8606629 參考資料 自己

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