Medical: Hay Fever A random sample of n1 516 communities in western Kansas gave the following information for people under 25 years of age.

x1: Rate of hay fever per 1000 population for people under 25 98 90 120 128 92 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 514 regions in western Kansas gave the following information for people over 50 years old.

x2: Rate of hay fever per 1000 population for people over 50 95 110 101 97 112 88 110 79 115 100 89 114 85 96

(Reference: National Center for Health Statistics.)

(i) Use a calculator to verify that, x1 ø 109.50, s1 ø 15.41, x2 ø 99.36, and s2 ø 11.57.

(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 s 5 0.05.

AppendixLO1