The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica: x , ; n = 36 ortal 5.2 6.3 5.1 5.1 5 6.5 5.0 1.8 6.1 5.1 5.6 4.8 5.1 5.9 LO D.4 5. 6.7 48 Petal length (in cm ) of Iris setosa: x, ; n, = 38 1:6 1.6 1.4 5 15 1. 6 1.4 1.1 1.2 1.4 1:7 1.0 1.7 1.9 1.6 L.4 1.2 1.3 16 1.5 1.4 1.2 1.6 1.4 1.7 1.5 In USE SALT Nun (a) Use a calculator with mean and standard deviation keys to calculate x, , s,, x,, and s,. (Round your answers to four decimal places.) 5.4694 0.5549 1.4895 52 0.2077 (b) Let #, be the population mean for x, and let , be the population mean for x,. Find a 99% confidence interval for 2. ( Round your answers to two decimal places.) lower limit 3.8196 X X upper limit 4.1404