Confidence interval
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1. What is the most controllable method of increasing the precision (narrowing) of the confidence interval?
2. What percentage of times will the mean (population proportion) not be found within the confidence interval?
3. When you draw a sample from a normal distribution, what can you conclude about the sample distribution? Explain.
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Solution Summary
The solution gives a different method for changing the width of confidence interval. See attachments for further details.
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The general form of (1-α)100% confidence interval is where C denote the (1-α/2) percentile of the sampling distribution and SE is the standard error of the statistic.
For example (1-α)100% confidence interval for population mean
• When population variance σ is known is (see ...
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