m-1 j=) t is the distribution of Y,? State all the relevant parameters of the evel a test (that is, the rejection region) for testing H₁ : µ; = o when of is unknown and n; is small. ntext of the test in part (b), state the Type I error and give a or the level of significance, a.
m-1 j=) t is the distribution of Y,? State all the relevant parameters of the evel a test (that is, the rejection region) for testing H₁ : µ; = o when of is unknown and n; is small. ntext of the test in part (b), state the Type I error and give a or the level of significance, a.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Let Y, represent the ith normal population with unknown mean 44, and unknown variance
of for i 1,2. Consider independent random samples, Ya, Y₁2,,Yin, of size ni, from
the ith population with sample mean Y, and sample variance S?=1Σj=1(Y₁j - Y₁².
(a) What is the distribution of Y;? State all the relevant parameters of the distribution.
(b) Find a level a test (that is, the rejection region) for testing Ho : μi = μio versus
Ha: Pipio when of is unknown and n, is small.
(c) In the context of the test in part (b), state the Type I error and give a probability
statement for the level of significance, a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ea2a71-9ac4-4e85-921f-8e0d04f36029%2F6eaacb18-f772-4173-8ace-f8356f1d1894%2Flgwol7o_processed.png&w=3840&q=75)
Transcribed Image Text:Let Y, represent the ith normal population with unknown mean 44, and unknown variance
of for i 1,2. Consider independent random samples, Ya, Y₁2,,Yin, of size ni, from
the ith population with sample mean Y, and sample variance S?=1Σj=1(Y₁j - Y₁².
(a) What is the distribution of Y;? State all the relevant parameters of the distribution.
(b) Find a level a test (that is, the rejection region) for testing Ho : μi = μio versus
Ha: Pipio when of is unknown and n, is small.
(c) In the context of the test in part (b), state the Type I error and give a probability
statement for the level of significance, a.
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