On the basis of a random sample the null hypothesisH0 :µ= µ0 is tested against the alternativeH1 :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?

On the basis of a random sample the null hypothesis H 0 :µ= µ 0 is tested against the alternative H 1 :µ > µ 0 and the null hypothesis is not rejected at the 5% significance level. a. Does this...

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?

Jun 10, 2022

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On the basis of a random sample the null hypothesis H 0 :µ= µ 0 is tested against the alternative H 1 :µ > µ 0 and the null hypothesis is not rejected at the 5% significance level. a. Does this...

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