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Critical values What critical value t* from Table B would you use for a confidence
Chapter 8, Problem 55(choose chapter or problem)
What critical value \(t^{*}\) from Table B would you use for a confidence interval for the population mean in each of the following situations?
(a) A 95% confidence interval based on n = 10 randomly selected observations
(b) A 99% confidence interval from an SRS of 20 observations
(c) A 90% confidence interval based on a random sample of 77 individuals
Questions & Answers
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QUESTION:
What critical value \(t^{*}\) from Table B would you use for a confidence interval for the population mean in each of the following situations?
(a) A 95% confidence interval based on n = 10 randomly selected observations
(b) A 99% confidence interval from an SRS of 20 observations
(c) A 90% confidence interval based on a random sample of 77 individuals
ANSWER:Step 1 of 3
Part (a)
is 1 decreased by the confidence interval:
\(\alpha=1-99 \%=1-0.99=0.01\)
We will determine the t-value by looking at the row starting with a degree of freedom \(n-1=10-1=9\) in table C
\(t_{\alpha / 2}=t_{0.025}=2.262\)
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