A random sample of n, = 16 communities in western Kansas gave the following information for people under 25 years of age. x: Rate of hay fever per 1000 population for people under 25 99 91 119 130 94 123 112 93 125 95 125 117 97 122 127 88 A random sample of n, = 14 regions in western Kansas gave the following information for people over 50 years old. x,: Rate of hay fever per 1000 population for people over 50 96 109 99 97 110 88 110 79 115 100 89 114 85 96 LA USE SALT (i) Use a calculator to calculate x, , S,, X2, and s2. (Round your answers to four decimal places.) X1 = 5 1 X, = (ii) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0.05. (a) What is the level of significance