Q2. Explore how changing the level of confidence and the sample size changes the

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Q2. Explore how changing the level of confidence and the sample size changes the width of a confidence interval. a. (2 point) Simulate 100 confidence intervals with a 90% confidence level. Choose a sample size between 2 and 20. Look at your confidence intervals. Take note of their width. Now increase the sample size to something between 30 and 100. Look at your confidence intervals. Finally, increase your sample size to 1000. Look at your confidence intervals. How does sample size affect your confidence intervals? Explain. b (2 no nn simulate 100 confidence intervals with a 90% confidence level Choose a sample size between 30

Explanation / Answer

It is the sample size that influences the confidence interval.The true size of population does not affect it.Confidence intervals from large samples tend to be quite narrow in width which reults in more precise estimates.Increasing the sample decreases the with of confidence interval beacuse it decreases the standard error.After reaaching a certain sample size diminished returns occur so it is not worth increasing our sample size any further.So here as sample increases and reaches 1000 the value of confidence interval will decrease.

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