Using the sampling distribution determined for X (X 1 X 2 ) 2 in Exercise 7 4, verify that E X and sd(X) 2 Data from in Exercise 7 4 From the set of numbers 3, 5, 7 , a random sample of size 2 is selected with replacement ...

We first calculate the mean and sd of the population that corresponds to X ...

Using the sampling distribution determined for X = (X 1 + X 2 ) / 2 in

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Using the sampling distribution determined for X̅ = (X₁ + X₂) / 2 in Exercise 7.4, verify that E [X̅] = μ and sd(X̅) = σ/ √2.

Data from in Exercise 7.4

From the set of numbers { 3, 5, 7 }, a random sample of size 2 is selected with replacement.

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Statistics Principles And Methods

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Authors: Richard A. Johnson, Gouri K. Bhattacharyya

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