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INVESTIGATION - Sampling and simulation

Outcomes

4.5.1.3

investigate the variability of random samples from various types of distributions, including uniform, normal and Bernoulli, using graphical displays of real and simulated data

4.5.2.3

simulate repeated random sampling, for a variety of values of p and a range of sample sizes, to illustrate the distribution of ˆp and the approximate standard normality of (ˆp−p)/(sqrt(ˆp(1−ˆp)/n) where the closeness of the approximation depends on both n and p

4.5.3.4

use simulation to illustrate variations in confidence intervals between samples and to show that most but not all confidence intervals contain p

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