Use the Empirical Rule to Describe Data That Are Bell $\begin{array} { l l l l l l l l l l l l l } 68 & 73 & 66 & 76 & 86 & 74 & 61 & 89 & 65 & 90 & 69 & 92 & 76 \end{array}$

Multiple Choice

Use the Empirical Rule to Describe Data That Are Bell Shaped
-Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for government health care but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows:
$\begin{array} { l l l l l l l l l l l l l } 68 & 73 & 66 & 76 & 86 & 74 & 61 & 89 & 65 & 90 & 69 & 92 & 76 \end{array}$
$\begin{array} { l l l l l l l l l l l l } 62 & 81 & 63 & 68 & 81 & 70 & 73 & 60 & 87 & 75 & 64 & 82 \end{array}$
Suppose the mean and standard deviation are $74.0$ and $9.7$ , respectively. If we assume that the distribution of ages is bell shaped, what percentage of the respondents will be between $64.3$ and $93.4$ years old?

A) approximately $81.5 \%$
B) approximately $68 \%$
C) approximately $95 \%$
D) approximately $83.9 \%$