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 92 122 129 91 123 12 93 125 95 125 117 97 122 127 8 A random sample of n- 14 regions in western Kansas gave the following information for people over 50 years old. *: Rate of hay fever per 1000 population for people over 50 97 100 102 9s 110 110 79 115 100 9 114 85 6 A USE SALT ) Use a calculator to caloulate iy and (Round your answers to four decimal places.) (4) 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 the level of significance?

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