Question: Two statisticians are given the same data from an experiment. Each uses these data to construct a confidence interval for the true population mean m. The resulting CIs are (8.55, 10.85) and (8.40, 11.0).
a. What is the value of the sample mean x¯?
b. One CI has a confidence level of 95%, and the other has a confidence level of 99.9%. Match the confidence level with the confidence interval, and justify your answer.