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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 23E

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prove the theorem

Theorem:- a X, Mg -
xo be a yandom sample of sze
n from N CO,on?) Then show That - Ex;2 is an
unbaised estimater of "a
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Theorem 3: Let x - (x1,X2 -- . Xp . .., x,) be a data set with a sample mean ĩ and a sample variance S. Also, let y = (y. Y2 ..yp m, Ya) be a data set with a sample mean ỹ and a sample variance S. Finally, let z = x - y such that z- (X1- yı, X2 – y2 -- .X - Ya... . , Xn – Yn). Show that i -i - ỹ.
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Do and sen) EXAMPLE in Show that for random samples of size n from an exponential population with the parameter 0, the sampling distributions of Y1 and Y, are given by EXEYCISE e-nyi/0 for v >0 81(V1) = elsewhere and 11 n/"[1-eYn/""-1 for V, > 0 elsewhere and that, for random samples of size n = 2m +1 from this kind of population, the sampling distribution of the median is given by (2m +1)! im+1)/#[1 - e for >0 h(ã) = m!m!e elsewhere 1Statistics
please solve question 4
Qil let x denote the minimum arder Statistics of arandam Sample from fw= K-e) let Zn= nc -) Find the limitiìng distribulion of z

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