Roll two regular pair of dice 35 times, recording the sum of the dots for each roll. Using the data from your sample, determine the corresponding sample mean and sample variance. Using this data, create a 95% confidence interval for the population mean and a 95% "centered" confidence interval for the standard deviation. Once complete, compare your results with what you know should be the correct population statistics an appropriate "hat" distribution. (You might want to use the chi-square calculator provided earlier in this text.)