A random sample of n 1=16 communities in western Kansas gave the following information for people under 25 years of age. x 1: Rate of hay fever per 1000 population for people under 25 101 112 112 124 103 96 116 103 124 130 128 122 116 151 91 112 A random sample of n 2=14 regions in western Kansas gave the following information for people over 50 years old. x 2: Rate of hay fever per 1000 population for people over 50 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 α=0.05. What is the value of the test statistic? 3.009 −1.073 −3.009 1.073 4.200