Did the first confidence interval capture the true mean? Repeat this 10 times and sketch what you see to the right. How many of the intervals capture the true mean? 3. "Reset" and then take a total of 100 confidence intervals (sample 25 four times). How many out of 100 captured the true mean? Is this surprising? Why? 4. Watch your confidence intervals as you drag the confidence level from 95% to 99% (don't "Reset). What happens to the intervals when the confidence level is increased? Why does this make sense? 5. "Reset", then sample 100 times at an 80% confidence interval. How many of the intervals capture the true mean? Interpret the confidence level: 6. Now we will see what happens when we adjust the sample size. Change the sample size from 5 to 50 and sample for 1 interval. Then change it to 250 and sample for 1 interval. What happens to the interval when the sample size is increased? Why