A Random Sample of Size 30 from a Normal Population $\bar { X }$

Multiple Choice

A random sample of size 30 from a normal population yields $\bar { X }$
= 32.8 with a population standard deviation of 4.51.Construct a 95 percent confidence interval for ?.

A) $\left[ \begin{array} { l l } 23.96 & 41.64\end{array} \right]$
B) $[ 32.04$$\quad$$\quad$$33.56 ]$
C) $[ 31.45 \quad 34.15 ]$
D) $\left[ \begin{array} { l l } 31.19 & 34.41\end{array} \right]$