solve for the following . please provide good explanation

The following measurements were recorded for the drying time, in hours, of certain brands of latex paint: 3.4 25 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 a. (5 pts) Assuming that the measurements represent a random sample from a normal pop- ulation, find a 99% confidence interval for the mean of the drying time. b. (5 pts) Find a 95% confidence interval for the variance of the drying times. c. (5 pts) Assuming the latex paint comes from two different brands (both normally dis- tributed) and samples are collected as shown in the following table, calculate a 95% confidence interval for for 1 -pa under the assumption that the variances are equal. Brand A 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 Brand B 4.4 4.0 5.2 3.0 4.8