ST 350 Study Guide - Midterm Guide: Test Statistic, Standard Error, Null Hypothesis

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22 Mar 2017
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Key ideas: confidence interval, confidence level, conditions for inference, standard error. Given a study, determine whether the study meets the necessary conditions for appropriate inference using a confidence interval for a population mean . Explain why we use the t-distribution instead of the normal distribution when making inference the population mean. Given a sampling situation, determine the appropriate degrees of freedom associated with the t-distribution. Explain the differences and similarities between the standard normal and t-distributions. Given a confidence level c, determine the critical value (t*) from the t-distribution table needed to construct the confidence interval. Define the standard error of the sample mean and calculate it when given a sample standard deviation s and sample size n. Construct a confidence interval for a population mean using the appropriate formula. Given a study, interpret the results of a confidence interval (for either a population proportion or a population mean) in the context of the problem.