Assignment 4: Construct and Interpret Confidence Intervals for Means Using Simulations

Analysis: 
Normal Distribution 
1. What is the proportion of the 95% confidence intervals that contain 50 when n=10?  When n=50? 
2. What is the proportion of the 99% confidence intervals that contain 50 when n=10?  When n=50? 
3. How does the typical width of the confidence interval change when the confidence level increases? 
4. How does the typical width of the confidence interval change as the sample size increases? 

Right Skewed Distribution 
1. What is the proportion of the 95% confidence intervals that contain 50 when n=10?  When n=50? 
2.What is the proportion of the 99% confidence intervals that contain 50 when n=10?  When n=50? 
3 How does the typical width of the confidence interval change when the confidence level increases? 
4 How does the typical width of the confidence interval change as the sample size increases? 
5 What was one obvious difference when comparing your conference intervals when sampling from a Normal Distribution vs. a Skewed Distribution?  What was consistent (similar) when increasing the sample size for both Normal and Skewed Distributions?

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