5.Suppose there are 2 populations, each with mean ₁ and 4₂ and standarddeviation of ₁ and 2 respectively. The interest is to measure a random variableX by taking a random sample of size n from the first population. In a similarmanner, another random variable Y is measured by independently taking arandom sample of size m from the second population. Assuming n and m aresufficiently large, then demonstrate the following properties:a. X~N (μ₁, 1)b. 8~ N(H₂. /)c.(8-8)-№ (1₁ - 1₂+15tm

Answered: Image /qna-images/answer/e6f182eb-a89e-4fb4-a1e4-ea79745e75ff.jpg

Answered: 5. Suppose there are 2 populations,…

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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Let X1, X2, X3, and X4 be a random sample of observations from a population with mean μ and variance σ2. Consider the following estimator of μ: �"!= 0.15 X1 + 0.35 X2 + 0.20 X3 + 0.30 X4.What is the variance of � "!
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…
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