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

question 4

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

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Definitions:

Methylpentane

A hydrocarbon molecule with the chemical formula C6H14, representing an isomer of hexane, used in various chemical applications.

Methyl Group

An alkyl derived from methane, containing one carbon atom bonded to three hydrogen atoms - CH3.

Valence Shell Electron Pair Repulsion Theory

A model used to predict the geometry of individual molecules based on the repulsion between electron pairs around a central atom.

Molecular Geometry

The three-dimensional arrangement of atoms within a molecule, determined by the spatial distribution of electrons and the resulting chemical bonds.