1. Using data in the Excel file Colleges and Universities, find 95% confidence intervals for the standard deviation of the median SAT for each of the two groups: liberal arts colleges and research universities. Based on these confidence intervals, does there appear to be a difference in the variation of the median SAT scores between the two groups? 2. In a sample of 64 different restaurants belonging to a fast food chain, the average monthly electricity bill is $2000 with the standard deviation of $300. Find the 99% confidence interval for the mean electricity bill of the population of different restaurants of this fast food chain.