Let X1,..., Xn be a random sample from a uniform distribution on the interval [20, 0], where0 < 0. The pdf of X1 is given by120{if 20 < x < 0,f(x|0) =if x < 20 or x > 0.Let X(1) < X(2) <...< X(n) be the order statistics of X1, ..., Xn. Show that the bias of 0 for estimating 0 is Bias(0)1-0.n+1

Answered: Show that the bias of 0 for estimating…

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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A sample of 323 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 to 65 mph, whereas a sample of 177 rural residents yielded 75 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents? (a) Test H0: p1 − p2 = 0 versus Ha: p1 − p2 ≠ 0 using ? = 0.05, where p1 refers to the urban population. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents.Reject H0. The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents. Fail to reject H0. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of…
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Please clearly shows the steps. I'm not sure if my answer(1/3) is correct, so please just ignore it and calculate by yourself.

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Show that the bias of 0 for estimating 0 is Bias(0) 1 n+1 -0.