QUESTION 3a)In a random sample of 20 second year statistics students from a normal distribution, N (μ, σ²)selected by a lecturer, found thatΣ?, X; = 30 and ²₁X² = 60.i) If the lecturer assumes that μ = 2, what is her 90% two sided confidence interval for o²?ii) If the lecturer assumes that μ is unknown, what will be her 90% two sided confidence intervalfor o²?iii) Would you accept Ho: o² = 1 against Ho: o² # 1 in each case, i) and ii)? Explain.

It is given that Sample size n = 20 ∑X = 30, ∑X2 = 60

Answered: i) If the lecturer assumes that μ = 2,…

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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i) If the lecturer assumes that μ = 2, what is her 90% two sided confidence interval for o²? ii) If the lecturer assumes that u is unknown, what will be her 90% two sided confidence interval for a²? iii) Would you accept Ho: o² = 1 against Ho: o² # 1 in each case, i) and ii)? Explain.