Let Y, represent the ith normal population with unknown mean 4, and unknown varianceof for i=1,2. Consider independent random samples, Ya, Ya, Yin, of size n,, fromthe ith population with sample mean Y, and sample variance S? = E(YY)².7-1(h) Find the standard error of U₂ in part (g), assuming that of = 0} = 0².(i) Discuss how the distribution of Y₁ - Y₂ can be used to test the equality of the twopopulation means, ₁ and 2, when of = 0 = 0² is known.(j) Define appropriate rejection regions, in terms of Y₁ -Y2, for testing Ho: ₁ = H₂against a two-sided alternative hypothesis at the a level of significance.

Given that the random variable represent the ith normal population with unknown mean and unknown…

Answered: Y, represent the ith normal population…

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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Data from 15 U.S. military veterans previously assigned in Afghanistan is collected regarding their gender (M or F) and whether they have Post-Traumatic Stress Disorder (Y or N). Are incidences of PTSD related to gender? chi-square for independence O Wilcoxon Signed Rank T Phi coefficient O independent-measures t
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Suppose the length of a particular type of snake is normally distributed with a mean of 50 inches and a standard deviation of 2.2 inches. You took a sample of 25 such snakes and the mean length for these snakes is 53 inches. a. Test the hypothesis that this sample came from a population with an average length of 50 inches. What is your conclusion if α = .05. Show your calculations including Excel functions used to do the calculations. b. Your friend believes that you took the sample from a population of snakes whose length is below 50 inches. Is your friend correct? What is your conclusion? Use α = .05 (5+5)
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23. Two methods A and B, were used to find the latent heat of fusion of ice. 13 measurements were made with method A and 8 measurements were made with method B with statistics: XA = 80.02, XB = 79.98,sA = 0.024 and sB = 0.031. To test equal means assuming normality and equal variances, the observed test statistic (to 1dp) and the P-value are: Test statistics = 1.2, P-value= P(t19|×1.2) >0.2 Test statistics-3.3;P-value= P(12133 0.005 Test statistics = 3 3 P-value = P(t19|>33)-0.01 Test statistics 3.3 P-value = P(t19 x3.3)-0.005

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