On the basis of a random sample the null hypothesisH0 :µ= µ0is tested against the alternativeH1 :µ > µ0and the null hypothesis is not rejected at the 5% significance level.a. Does this necessarily imply that µ0 is contained in the 95% confidence interval for µ?b. Does this necessarily imply that µ0 is contained in the 90% confidence interval for µ if the observed sample mean is larger than µ0?

The significance level, also denoted as alpha or α, is the probability of rejecting the null…

Answered: On the basis of a random sample the…

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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On the basis of a random sample the null hypothesis
H₀ :µ= µ₀
is tested against the alternative
H₁ :µ > µ₀
and the null hypothesis is not rejected at the 5% significance level.
a. Does this necessarily imply that µ₀ is contained in the 95% confidence interval for µ?
b. Does this necessarily imply that µ₀ is contained in the 90% confidence interval for µ if the observed sample mean is larger than µ₀?

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