In establishing the authenticity of an ancient coin, its weight is often of critical importance. If four experts independently weighed a Phoenician tetradrachm and obtained 14.28, 14.34,14.26, and 14.32 grams, verify that the mean and standard deviation for these data are 14.30 and 0.0365 respectively, and construct a 99% confidence interval for the true average weight of a Phoenician tetradrachm.
