An Environmental Group at a Local College Is Conducting Independent $\left[ \begin{array} { l l } 26.16 & 30.24\end{array} \right]$

Multiple Choice

An environmental group at a local college is conducting independent tests to determine the distance a particular make of automobile will travel while consuming only 1 gallon of gas.They test a sample of five cars and obtain a mean of 28.2 miles.Assuming that the standard deviation is 2.7 miles,find the 95 percent confidence interval for the mean distance traveled by all such cars using 1 gallon of gas.

A) $\left[ \begin{array} { l l } 26.16 & 30.24\end{array} \right]$
B) $[ 20.70$$\quad$$\quad$$35.70 ]$
C) $\left[ \begin{array} { l l } 24.85 & 31.55\end{array} \right]$
D) $[ 26.70$$\quad$$\quad$$29.70 ]$
E) $\left[ \begin{array} { l l } 25.83 & 30.57\end{array} \right.$