4. To test the null hypothesis that two population means satisfy u1 = 42 by using matched pairs with two samples of size n, we require that n > 30 andn< N/20. Our test statistic TS is where d is the average difference of the matched pairs – with all subtractions done in the same order: first sample data minus second sample data! – and where sa is the sample standard deviation of the differences. The degrees of freedom is dof = n– 1. (a) For a two-tailed test, we may compute ta/2 = ±InvT(a/2, dof) and check that the test-statistic falls in a tail. Or we may instead compute P = 2 tcdf (|TS|, ∞, dof) and check that P< a. Suppose our null hypothesis is the population means agree (4 = 42), that our sample size is n = 100, and that we find d = -1.33 and sd = 2.72. i. If we use a two-tailed test, what is our alternative hypothesis: µi + µ2 ? µ1 < µ2 ? or ui > µ2 ? ii. What would we conclude if we rejected the null hypothesis with a two-tailed test? iii. Can we reject the null hypothesis at level of significance a = 0.05, using a two-tailed test?

4. To test the null hypothesis that two population means satisfy u1 = 42 by using matched pairs with two samples of size n, we require that n > 30 andn< N/20. Our test statistic TS is where d is the average difference of the matched pairs – with all subtractions done in the same order: first sample data minus second sample data! – and where sa is the sample standard deviation of the differences. The degrees of freedom is dof = n– 1. (a) For a two-tailed test, we may compute ta/2 = ±InvT(a/2, dof) and check that the test-statistic falls in a tail. Or we may instead compute P = 2 tcdf (|TS|, ∞, dof) and check that P< a. Suppose our null hypothesis is the population means agree (4 = 42), that our sample size is n = 100, and that we find d = -1.33 and sd = 2.72. i. If we use a two-tailed test, what is our alternative hypothesis: µi + µ2 ? µ1 < µ2 ? or ui > µ2 ? ii. What would we conclude if we rejected the null hypothesis with a two-tailed test? iii. Can we reject the null hypothesis at level of significance a = 0.05, using a two-tailed test?

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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