If the sample mean is 75 and the sample size (n) is 36, given that the population standard deviation (σ) equals 12, construct a 99% confidence interval for the population mean (µ). What is the standard error of the mean (compute)? What are the critical values? From what distribution? What is the confidence interval (compute)? If an expert asserted that the population mean was 79, at a 99% level of confidence, would the data gathered in this sample tend to support the expert's opinion?
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