A2.32: 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.

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.
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