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Standards/Math/Alabama/A2.32

A2.32

A2 Algebra II with Statistics
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A2.32.aA2.32.bA2.32.c
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Produce a sampling distribution by repeatedly selecting samples of the same size from a given population or from a population simulated by bootstrapping (resampling with replacement from an observed sample). Do initial examples by hand, then use technology to generate a large number of samples.

A2.32.aVerify that a sampling distribution is centered at the population mean and approximately normal if the sample size is large enough.A2.32.bVerify that 95% of sample means are within two standard deviations of the sampling distribution from the population mean.A2.32.cCreate and interpret a 95% confidence interval based on an observed mean from a sampling distribution.
Khan Academy Resources
Basic normal calculationsEmpirical ruleCalculating z-scoresNormal distribution: Area between two pointsNormal distribution: Area above or below a pointNormal calculations in reverseCalculate percentilesQualitative sense of normal distributionsNormal distribution problems: Empirical ruleCalculating percentileComparing with z-scoresFinding z-score for a percentileStandard normal table for proportion aboveStandard normal table for proportion between valuesStandard normal table for proportion belowZ-score introductionThreshold for low percentile
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