Find the Confidence Interval Specified $\begin{array} { l l l l l } 5.1 & 4.9 & 4.7 & 3.1 & 4.3 \end{array}$

Multiple Choice

Find the confidence interval specified.
-Physiologists often use the forced vital capacity as a way to assess a person's ability to move air in and out of their lungs. A researcher wishes to estimate the forced vital capacity of people suffering From asthma. A random sample of 15 asthmatics yields the following data on forced vital capacity,
In liters.
$\begin{array} { l l l l l } 5.1 & 4.9 & 4.7 & 3.1 & 4.3 \end{array}$
$\begin{array} { l l l l l l } 3.7 & 3.7 & 4.3 & 3.5 & 5.2 \end{array}$
$\begin{array} { l l l l l } 3.2 & 3.5 & 4.8 & 4.0 & 5.1 \end{array}$
Use the data to obtain a $95.44 \%$ confidence interval for the mean forced vital capacity for all asthmatics. Assume that $\sigma = 0.7$ .

A) $4.11$ to $4.30$ liters
B) $62.74$ to $63.46$ liters
C) $3.85$ to $4.57$ liters
D) $2.81$ to $5.61$ liters