Mulrow et al. (1988) presented data on the melting temperature of biphenyl as measured on a differential scanning calorimeter. The data are given below; they are the observed melting temperatures in Kelvin less 340.

3.02,2.36,3.35,3.13,3.33,3.67,3.54,3.11,3.31,3.41,3.84,3.27,3.28,3.30 Compute the sample mean, variance, and standard deviation. Give a 99% confidence interval for the population mean melting temperature of biphenyl as measured by this machine. (Note that we don’t know whether the calorimeter is accurately calibrated.)