2. Take the setting of Question 2 from Tutorial sheet 4. However, now suppose that instead of a one-sided test we are performing a two sided test of size a such that: Ho: μ = μo vs Hy: μ έ μο In Tutorial 4 we derived that under the null hypothesis the test statistic µ(X) – µo T(X) := 82 ~tn-1 where μ(X) is the mean of the X;'s and S² is the sample variance has a tn−1 is the student t distribution on n 1 degrees of freedom. - Derive an expression for the rejection region for this two-sided test of size a that uses T(X) as the test statistic.
2. Take the setting of Question 2 from Tutorial sheet 4. However, now suppose that instead of a one-sided test we are performing a two sided test of size a such that: Ho: μ = μo vs Hy: μ έ μο In Tutorial 4 we derived that under the null hypothesis the test statistic µ(X) – µo T(X) := 82 ~tn-1 where μ(X) is the mean of the X;'s and S² is the sample variance has a tn−1 is the student t distribution on n 1 degrees of freedom. - Derive an expression for the rejection region for this two-sided test of size a that uses T(X) as the test statistic.
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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Transcribed Image Text:2. Take the setting of Question 2 from Tutorial sheet 4. However, now suppose
that instead of a one-sided test we are performing a two sided test of size a
such that:
Ho: μ = μo vs H: μ + μο
In Tutorial 4 we derived that under the null hypothesis the test statistic
û(X) — – μο
T(X) ==
~tn-1
$²
n
where û(X) is the mean of the X;'s and S² is the sample variance has a tñ−1 is
the student t distribution on n - 1 degrees of freedom.
Derive an expression for the rejection region for this two-sided test of size a
that uses T(X) as the test statistic.
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