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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.

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Statistics and Probability, Statistics

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