Let X, and Sn be the sample mean and the sample variance of {Xi,.X. Let Xn+1...

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Let X, and Sn be the sample mean and the sample variance of {Xi,.X. Let Xn+1 and S7+1 be the sample mean and the sample variance of {X1,..., Xn, X y. Which of the following hold for sample means, for sample variances? 72 m+1 m+1

math Statistics-And-Probability

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Answer 1

Answer #1

For Sample Mean :-

The sample mean formula is
x̄ = ( Σ xi ) / n

Final mean will be equal to initial

mean.(proof attached)

mean : tX ナ

b) Final sample variance will be

less than initial sample variance

(proof attached)

2. 2 2 2 2 2 2 Sati

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Answer 2

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Let X, and Sn be the sample mean and the sample variance of {Xi,.X. Let Xn+1...

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