**Problem 7.** A binomial distribution has parameters \((n, p)\) where \(n\) is known and \(p\) is unknown. Find the method of moments estimator for \(p\) and compute its variance.

The method of moments(MOM) estimator for a parameter is obtained by equating the sample moments to…

Answered: Problem 7. A binomial distribution has…

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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13
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We are running a hypothesis test to see if weight of African zebras is significantly different than that of Arabian horses. We assume weight in both populations is normally distributed and both populations have the same population variance in weight which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 659. If the pooled variance is 81, then what is the absolute value of the standardized test statistic for our data?

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Problem 7. A binomial distribution has parameters (n, p) where n is known and p is unknown. Find the method of moments estimator for p and compute its variance.