Problem 7. The sulfur dioxide concentration Y, in ppm, in a certain city is postulated to have a gamma-type density function: fy (y; 0) = - 7, 0 < y< 0, ;& >0. Let Y1,--- ,Y, constitute a random sample of size n from fy(y:; o), so that y1,--- ,Yn are the actual realizations (data points). 1. Find the expectation of a random variable distributed Y ~ fy(y; o) 2. Use the Central Limit Theorem to derive a (1 – a) - 100% confidence interval for the parameter o. 3. If n = 50 and ỹ = 10, use the derived confidence interval to compute a 95% parametric confi- dence interval for o.

Problem 7. The sulfur dioxide concentration Y, in ppm, in a certain city is postulated to have a gamma-type density function: fy (y; 0) = - 7, 0 < y< 0, ;& >0. Let Y1,--- ,Y, constitute a random sample of size n from fy(y:; o), so that y1,--- ,Yn are the actual realizations (data points). 1. Find the expectation of a random variable distributed Y ~ fy(y; o) 2. Use the Central Limit Theorem to derive a (1 – a) - 100% confidence interval for the parameter o. 3. If n = 50 and ỹ = 10, use the derived confidence interval to compute a 95% parametric confi- dence interval for o.

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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