MATH117_Lecture_Lock5-1 - Section 5.1 Normal Distribution...

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Statistics: Unlocking the Power of DataLock5Section 5.1Normal Distribution
Statistics: Unlocking the Power of DataLock5OutlineDensity curvesNormal distributionFinding normal probabilities (technology)Finding normal endpoints (technology)Standard normal
Statistics: Unlocking the Power of DataLock5Some Bootstrapand RandomizationDistributionsslope(thousandths)-60-40-200204060Dot Plotr-0.4-0.20.00.20.40.6Nullxbar98.298.398.498.598.698.798.898.999.0Diff-4-3-2-101234xbar26272829303132Dot PlotSlope :RestauranttipsCorrelation: Malevolent uniformsMean :Body TemperaturesDiff means: Finger tapsMean : Atlanta commutesphat0.30.40.50.60.70.8Proportion : Owners/dogsAll bell-shapeddistributions
Statistics: Unlocking the Power of DataLock5Density CurveAdensity curveis a theoretical modelto describe a variable’s distribution.Think of adensity curveas an idealizedhistogram, where:(1) The total area under the curve is one.(2) The proportion of the population inany interval is theareaover that interval.
Statistics: Unlocking the Power of DataLock5Density for Bootstrap Meansfor Atlanta CommutesWhat proportionarebetween 30 and 31?

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Term
Spring
Professor
Brian Mastro

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