The following random sample was obtained from a normally distributed population with an unknown population mean u and unknown population variance o2: - 4.9 17.1 6.5 4.4 7.5 9.2 7.9 22.3 Compute a) an unbiased estimate of the population mean (µ); b) an unbiased estimate of the population variance (o?); c) an unbiased estimate of the variance of the sample mean Var(X); d) a 99% confidence interval for the population mean. Explain what distribution you use to obtain the critical values and why.

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