Confidence Interval Simulation
Confidence Interval Demonstration
Answers
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95% contain the mean, so 1 - 0.95 = 0.05 do not.
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The wider the inverval, the more confident you are that the interval contains the population mean.
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Larger sample sizes decrease the width of confidence intervals but leave the probability that the interval contains the population mean unchanged.
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It is not possible because the 99% confidence interval extends the 95% confidence interval at both ends.