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These are the true and false questions. Please answer those questions like 1. Ture 2. False so and so... Thank you

These are the true and false questions. Please answer those questions like 1. Ture 2. False so and so... Thank you

MATLAB: An Introduction with Applications
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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These are the true and false questions. Please answer those questions like

1. Ture

2. False

so and so...

Thank you

Let X₁,..., X, be iid from N(μ, ²). Then as n increases, the length of 95% confidence interval for μ increases. Not selected Let  be an estimator for 0. If is unbiased, then Ô(X₁, X₂, ..., Xn) converges to 0 in probability as the sample size increases, i.e., as n →∞. Not selected By the Central Limit Theorem, if X₁,..., X₂ is an iżd sample from a population with mean μ and variance o², then X is approximately Normally distributed with mean μ and variance ². Not selected ✓ If we reject the null hypothesis after performing a two-tailed hypothesis z-test with a = 0.1, there is a one-tailed z-test for the same data, assumptions, and null value that will reject the null hypothesis with a = 0.05. Not selected We reject the null hypothesis Ho in favor of the alternative Ho if the p-value is greater than the significance level a. Not selected
Transcribed Image Text:Let X₁,..., X, be iid from N(μ, ²). Then as n increases, the length of 95% confidence interval for μ increases. Not selected Let  be an estimator for 0. If is unbiased, then Ô(X₁, X₂, ..., Xn) converges to 0 in probability as the sample size increases, i.e., as n →∞. Not selected By the Central Limit Theorem, if X₁,..., X₂ is an iżd sample from a population with mean μ and variance o², then X is approximately Normally distributed with mean μ and variance ². Not selected ✓ If we reject the null hypothesis after performing a two-tailed hypothesis z-test with a = 0.1, there is a one-tailed z-test for the same data, assumptions, and null value that will reject the null hypothesis with a = 0.05. Not selected We reject the null hypothesis Ho in favor of the alternative Ho if the p-value is greater than the significance level a. Not selected
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