Question

A random sample of n - 16 communities in western Kansas gave the following information for people under 25 years of age. Xq: Rate of hay fever per 1000 population for people under 25 100 92 122 127 91 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 - 14 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 94 10899 95 111 88 110 79115 100 89 114 85 96 A USE SALT () Use a calculator to calculate X1, 51, 2, and sz. (Round your answers to four decimal places.) *1- 51 - S2 (1) 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 May fever? Use a 0.05. (a) What is the level of significance? State the null and alternate hypotheses Ho! Hi-H: HAN Holi Hit Hi H Holi ; Hy Hi-

Answer 1

Date S2² = 1 I (xi - Fa)2 12-1 1의 52 = is (Xi - 98.7857)2 13 19 +(96 - 8.98:7857) 2 → Szs (94 - 98.7857)2 + - 13 7 52² = 130.3352 S2= 1130.3352 S2 = 11.4164 ii) a a) level of significance 0=0.05 Null and alternative bypothesis is, Hoo e = 12 Hi : 4,742 el Rate of hay Fever per 1000 for people So Rate of hay Fever for people under 25. over 12 - Test statistic is to = XI - X2 N toitn2-2. S ni 2 where s²= nisi² + D2S2² Ditna-2