Normality Requirement What does it mean when we say that the confidence interval methods of this section are robust against departures from normality?
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Normality Requirement What does it mean when we say that the confidence interval methods of this section are robust against departures from normality?
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- Normality Requirement What is different about the normality requirement for a confidence interval estimate of σ and the normality requirement for a confidence interval estimate of µ?Two-Sample Tests for Proportions What are the limitations of two-sample tests of proportions? Do these limitations present serious problems? Can the use of multiple confidence intervals for proportions overcome these limitations?Equivalence of Methods If we use the same significance level to conduct the hypothesis test using the P-value method, the critical value method, and a confidence interval, which method is not equivalent to the other two?
- True or False? The width of a confidence interval for the population mean μ is a NON-random quantity if the population variance σ2 is assumed known.Reporting a cheat What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: " You witness two students cheating on a quiz. Do you go to the professor?" Only 19 answered "Yes." Show that the conditions for calculating a confidence interval for a proportion are satisfied. Calculate a 99% confidence interval for the proportion of all undergraduate students at this university who would answer "Yes." Interpret the interval from Question #2In describing confidence intervals on a mean, z and t intervals are frequently mentioned. How are z and t confidence intervals different? Give an example of how z confidence interval could be applied within an operations or production environment. Give an example of how t confidence interval could be applied within an operations or production environment.
- True or False? When calculating a confidence interval for one sample with a continuous outcome and the sample contains fewer than 30 individuals, then a t-score should be used in place of a z-score.4) State your conclusion (reject or not?) and your interpretation of this conclusion. What does this outcome mean in the context of the problem? Use complete sentences. 5) Provide a 95% confidence intervals with interpretations. You now have two samples, so you can either produce an interval for each, or an interval for the difference. Either way, this will influence the way you interpret them. Use complete sentences.4)State your conclusion (reject or not?) and your interpretation of this conclusion. What does this outcome mean in the context of the problem? Use complete sentences. 5) Provide a 95% confidence intervals with interpretations. You now have two samples, so you can either produce an interval for each, or an interval for the difference. Either way, this will influence the way you interpret them. Use complete sentences.