Let Y, represent the ith normal population with unknown mean , and unknown varianceHof for i=1,2. Consider independent random samples, Ya, Y2Yin, of size n,, fromthe ith population with sample mean Y, and sample variance S7=E(YY)²(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: 4 = 4o versusHa Pio 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 probabilitystatement for the level of significance, a.(d) Define V₁, a function of S7, that has a chi-square distribution.

Answered: Let Y, represent the ith normal…

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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Please note the question is: What is the distribution of the t-test statistic if m, n -----> ∞ ?
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Let Yı, Үг, Үз, Ү4, Үş and X1, X2, ..., X, be independent and normally distributed random samples from populations with means A1 = 2 and Az = 8 and variances 12 = 5 and_a22 = k, respectively. Suppose that P(X —Ї > 10) = 0.02275, find the value of az² = k. фундука чии
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