A random sample of 16 communities in Western Kansas gave the following information for the rate of hay fever per 1000 population for people under 25 years of age.
Rate of hay fever per 1,000 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 14 regions in western Kansas gave the following information for people over 50 years old.
| 95 |
110 |
101 |
97 |
112 |
88 |
110 |
|
| 79 |
115 |
100 |
89 |
114 |
85 |
96 |
|
Assume that the hay fever rate in each age group has an approximately normal distribution. Does the data indicate that the age group over 50 has a lower rate of hay fever? alpha is 0.05. Show formulas, H0 and H1 too.