Suppose X~Binom(6, p) and define an estimator T ==to estimate p. Then, variance6.of T is,p(1–p)a)Var (T)=6.b)Var (T) = 6 p(1 – p)c)Var (T)~ p(1-p)d)Var (T) - 36р

We have given that X~Binom( 6 , p) Where , n=6 Mean= np , var(x) = npq

Answered: Suppose X~ Binom(6, p) and define an…

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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2 If X₁ and X₂ are the means of independent ran- dom samples of sizes n₁ and n₂ from a normal population with the mean u and the variance o2, show that the vari- ance of the unbiased estimator 2 w X₁ + (1-w). X₂ is a minimum when @ = n1 n₁ + n₂ idnu
Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables margin, - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and • home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to 0 when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line: regress margin home if team===== "Brooklyn Nets" . Source Model Residual Total margin home _cons SS 1459.95122 15252.0488 16712 df 1459.95122 1 80 190.65061 None of the above 81 206.320988 Coef. Std. Err. 8.439024 3.049595 -5.219512 2.156389 MS t Number of obs F(1, 80) Prob > F R-squared O The Nets lost more games than they won in 2014 P>|t| 2.77 0.007 -2.42 0.018 Adj R-squared = Root…
7
Prove variance property: var(aX +b) = a²var(X) where a and b are constants.

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Suppose X~ Binom(6, p) and define an estimator T =to estimate p . Then, variance 9. of T is, p(1- p) a) Var (T)= 6. Var (T)= 6 p(1- p) Var (T)~ p(1p) Var (T)- 36p b) c) d)