A researcher wishes to see if there is the difference in cholesterol levels of two groups of men. Random sample of 30 men between ages of 25 and 40 is selected and tested. Average level is 223. Second sample of 25 men between ages of 41 and 56 is selected and tested. Average of this group is 229. Population standard deviation for both groups is 6. At α = 0.01, is there difference in cholesterol levels between two groups? Determine 99% confidence interval for difference of two means.