The Real Meaning of a 95% CI In the Confidence Intervals applet, select a 95% Confidence Level (C). Click the Sample 50 button to generate 50 simple random samples. The applet will construct the confidence interval associated with each sample and display a visual representation of each CI with a line centered at the sample mean. Lines in red do not capture the true population mean.
a. Describe any pattern in the confidence intervals.
b. Click the Sample 50 button repeatedly and observe the Percent hit. This indicates the percentage of CIs that captured the true population mean. Describe the behavior of the percent hit as the total CIs generated increases. Justify your answer.