Consider that X1, X2 X3, X4, X5 is an independent random sample where X, follows a normal distribution with a mean of19 and a variance of 3.2, and Yı, Y2 Y3, Y4, Y5, Y6, Y7 is an independent random sample where Y;follows a normaldistribution mean 27 and variance 4.1. Imagine we are interested in the sum of the two sample averages X + Y.a) What is the mean and variance of X + Y? Show your work.b) We know that the linear combination of normal random variables has a normal distribution. Using part a, what is theprobability the sum of the two samples averages is less than 44?

Solution: Given information: Xi~N(μx=3.2, σx2=3.2) i= 1,2,..,5n1=5 Sample size of XYi~N(μy=…

Answered: Consider that X1, X2 X3, X4, X5 is an…

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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A sample has a minimum value of 7 and a maximum value of 58 .Estimate its variance.
You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (x₁) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer ? V Select an answer V Ha: Select an answer ✓ Based on the hypotheses, find the following: Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 p-value = ? V Select an answer V (Hint: difference in means from Ha) The correct decision is to Select an answer…
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Please answer the question contained in the following picture
suppose that we have disjoint normal populations A and B and we want to find the standard error estimate for estimating the difference in their means. We have an IRS from A of size 8 with variance 25 and an IRS from B of size 9 with variance 16. What is the resulting standard error estimate if we assume both populations have the same population variance?
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What is the proportion of variance shared between the 2 variables? (How much of the variance in one variable can be predicted by the variance in the other variable?) Provided : mean 1 = 13.6 SD 1 = 2.26 Mean 2 = 102.7, SD= 11.36 Coefficient r = 0.47
You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (1) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: ₁ Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 Ha: ₁ Based on the hypotheses, find the following: p-value = = V Select an answer ✓ Select an answer (Hint: difference in means from H₂) The correct decision is to fail to reject the null hypothesis The correct summary…

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