Chapter 7: SAMPLING DISTRIBUTIONS & POINT …
Chapter 7Sampling DISTRIBUTIONS and POINT Estimation ofParametersPart 1: SAMPLING DISTRIBUTIONS ,the Central Limit Theorem, POINT Estimation & EstimatorsSections 7-1 to 7-21 / 26Statistical InferencesA random sampleis collected on a populationto draw conclusions, ormake statistical inferences, about the (Random Sample)The random variablesX1,X2,...,Xnare arandom sampleof ) theXi s are independent2) everyXhas the same probability distributionTypes of statistical inference:1Parameter estimation( estimating ) with a confidence intervalFor estimating , we collect data and we use the observed samplemean xas a POINT estimatefor and create a confidence interval toreport a likely range in which testingabout a population parameter ( : = 50)We wish to compare the mean time that women and men spend at : M= W? Or perhaps there is evidence against / 26Sample Mean X, a POINT Estimate for The sample mean Xis used as a POINT estimate for the populationparameter.
Sample-to-sample variability The value we get for X (the sample mean) de-pends on the speci c sample chosen. 3AMPLE 0OPULATION This means, X is a random variable!
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