# 21 - Statistical inference: Statistical inference provides...

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Statistical inference: Statistical inference provides methods for drawing conclusions about a population from sample data. Confidence interval: An interval and confidence level calculated for an estimate of an unknown population parameter, used to indicate how accurate the estimate is and of how confident we are that the result is correct. Simple conditions for inference about a mean: 1. We have an SRS from the population of interest. There is no nonresponse or other practical difficulty. 2. The variable we measure has an exactly Normal distribution N (µ, σ) in the population. 3. We don’t know the population mean µ. But we do know the population standard deviation σ. A level C confidence interval for a parameter has two parts: An interval calculated from the data, usually of the form estimate ± margin of error A confidence level C, which gives the probability that the interval will capture the true parameter value in repeated samples. That is, the confidence level is the success rate for the

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## This note was uploaded on 02/27/2012 for the course STAT 121 taught by Professor Patticolling during the Winter '11 term at BYU.

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21 - Statistical inference: Statistical inference provides...

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