Let s be the sample variance of a random sample of size n1 from a Normal(41,o²) population and s be the sample variance of a random sample of size n2 from a Normal(2,o²) population and the two samples are independent. Note that the two samples have the same population variance o² but µi # µ2 and n1 # n2. Define the pooled variance estimator as (n1 – 1)s} + (n2 – 1)s3 I + n2 – 2 Is s2 unbiased for o² ? Explain with precise computation. Find the distribution of . Give the reasoning of your answer. Find the variance of s.

Let s be the sample variance of a random sample of size n1 from a Normal(41,o²) population and s be the sample variance of a random sample of size n2 from a Normal(2,o²) population and the two samples are independent. Note that the two samples have the same population variance o² but µi # µ2 and n1 # n2. Define the pooled variance estimator as (n1 – 1)s} + (n2 – 1)s3 I + n2 – 2 Is s2 unbiased for o² ? Explain with precise computation. Find the distribution of . Give the reasoning of your answer. Find the variance of s.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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