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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]-μand σ- %3D n N-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 o2 N-n Ε[X]-μand σ- %3D n N-1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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 .2 N-n Ε[X]- μ and σε п N-1 Hint: To Show that you must first find X, E[X], 0g , µ, 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 .2 N-n Ε[X]- μ and σε п N-1 Hint: To Show that you must first find X, E[X], 0g , µ, and o, then Show that the equations above are correct. Be careful about population vs sample mean or variance etc.
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