A Random Sample of 16 Communities in Western Kansas Gave $n _ { 1 } =$

Multiple Choice

A random sample of 16 communities in western Kansas gave the following information for people under 25 years of age. $n _ { 1 } =$ Rate of hay fever per 1000 population for people under 25
$x _ { 1 } :$ $\begin{array} { l l l l l l l l l l l l l l l l } 115 & 113 & 111 & 111 & 151 & 112 & 111 & 120 & 109 & 123 & 121 & 121 & 124 & 115 & 108 & 122\end{array}$ A random sample of 14 regions in western Kansas gave the following information for people over 50 years old.
$n _ { 2 } =$ Rate of hay fever per 1000 population for people over 50
$x _ { 2 }$ 107 $\quad$ 107 $\quad$ 100 $\quad$ 99 $\quad$ 102 $\quad$ 105 $\quad$ 98 $\quad$ 81 $\quad$ 104 $\quad$ 104 $\quad$ 110 $\quad$ 97 $\quad$ 117 $\quad$ 97 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 $\alpha$ = 0.05. What is the level of significance?

A) 0.975
B) 0.050
C) 0.025
D) 0.100
E) 0.950