In Chapter 7, we introduced the notion of an inverse relationship between precision and confidence. That is, as a confidence interval gets narrower and consequently more precise, we can be less confident that the interval contains the true population parameter. Additionally, the material provided in Chapter 7 also highlighted the very important role of sample size in increasing the level of precision in our estimates.
Go to http://inspire.stat.ucla.edu/unit_10/activity.php and read the instructions and guided questions for the sampling and confidence interval simulator that you will find at http://www.stat.berkeley.edu/~stark/Java/Html/Ci.htm.Here you will take several samples from a population and answer several questions about the activity. After answering the guiding questions, think about what this means for statistics and discuss the implications with your peers.