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...


2. We select n=2 random samples without substitution from the population 7, 10, 9, 11, 13,<br>12, 15 in which N=7. Find possible samples number, then draw a table which includes<br>the information of possible samples and sample means and sample variances for each<br>possible sample. Finally, show that<br>o2 N-n<br>Ε[X]-μ and σ<br>%3D<br>п N-1<br>Hint: To Show that you must first find X, E[X], og , µ, and o, then Show that the equations<br>above are correct. Be careful about population vs sample mean or variance etc.<br>

Extracted 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 o2 N-n Ε[X]-μ and σ %3D п N-1 Hint: To Show that you must first find X, E[X], og , µ, and o, then Show that the equations above are correct. Be careful about population vs sample mean or variance etc.

Jun 08, 2022
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