Answer
$-42^{\circ}F$
Thus, you will not be able to maintain a normal body temperature.
Work Step by Step
We first must find the change in temperature:
$\Delta T = \frac{\Delta x H}{kA} = \frac{4 \times 10^{-2}\times 100}{.044 \times 1.5} = 61 K $
Subtracting this from room temperature, which is 293.15 Kelvin, we find:
$ T = 293.15 - 61 = 232.15 K$
This is the same as $-42^{\circ}F$.