Each of 16 science students independently measured the melting point of lead. The sample mean of these measurements was 330.2 degrees centigrade. a) If the standard deviation of such measurements is known to be 14, find a 99 percent two- sided confidence interval estimate of the true melting point of lead. b) Suppose that the population variance is not known in advance. If the sample standard deviation is 15.4 degrees centigrade, compute a 99 percent two-sided confidence interval of the true melting point of lead.

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