12) Construct a 99% confidence interval for the population mean, μ. Assume the population has a normal distribution. A group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years. a) Identify the best point estimate for the population mean µ. b) Find the critical values. Sketch the distribution curve and identify the critical values and confidence level on the graph. c) Find the margin of error. Round your answer to two decimal places. d) Construct the confidence interval.

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