MATH 10041 Lecture Notes - Lecture 29: Confidence Interval, Statistical Parameter

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9. 3: answering questions about the mean of a population: construct and interpret a confidence interval for a population mean. Confidence interval: provides a range of plausible values for the population mean along with a measure of the uncertainty in our estimate. Is a measure of the uncertainty in our estimate the higher the level of confidence, the better our estimate is. If you have data for the entire population you need to find a confidence interval since the population parameter is known there is no need to estimate it. Interpretation of the confidence level: the confidence level is a measure of how well the method used to produce the confidence interval performs. Finding t* t* can be found using a t-distribution table, but because most tables stop at 35 or 40 degrees of freedom, it it best to use technology to construct confidence intervals.