Let X1,..., X, be a random sample from a normal distribution N(u, o²).(a) Find a 90% confidence interval for u based on the data for which X = 19.3 andn = 16 if it is known that o? = 9.(b) By using the information in (a), find a one-sided lower 90% confidence intervalfor u. Also, find a one-sided upper 90% confidence interval for u.(c) Suppose now that o is unknown. Find a 90% confidence interval for u if X =19.3, S? = 10.24, and n = 16.(d) If o? = 9, what sample size is needed to achieve a 90% confidence interval for uof length 2?

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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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