2. We select n=2 random samples without substitution from the population 7, 10, 9, 11, 13, 12, 15 in which N=7. Find possible samples number, then draw a table which includes the information of possible samples and sample means and sample variances for each possible sample. Finally, show that

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We select n=2 random samples without substitution from the population 7, 10, 9, 11, 13, 12, 15 in which N=7. Find possible samples number, then draw a table which includes the information of possible samples and sample means and sample variances for each possible sample. Finally, show that
E[?̅] = μ and ??̅ 2= ?2? ?−??−1.

2. We select n=2 random samples without substitution from the population 7, 10, 9, 11, 13,
12, 15 in which N=7. Find possible samples number, then draw a table which includes
the information of possible samples and sample means and sample variances for each
possible sample. Finally, show that
o* N-n
E[X] = µ and og
n N-1
Hint: To Show that you must first find X, E[X], og , H, and o, then Show that the equations
above are correct. Be careful about population vs sample mean or variance etc.
Transcribed Image Text:2. We select n=2 random samples without substitution from the population 7, 10, 9, 11, 13, 12, 15 in which N=7. Find possible samples number, then draw a table which includes the information of possible samples and sample means and sample variances for each possible sample. Finally, show that o* N-n E[X] = µ and og n N-1 Hint: To Show that you must first find X, E[X], og , H, and o, then Show that the equations above are correct. Be careful about population vs sample mean or variance etc.
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