We can use the formula:
Amount of drug = concentration x volume
where concentration is the amount of drug per unit volume, and volume is the amount of solution to be given.
Rearranging the formula, we can solve for the volume:
Volume = Amount of drug / concentration
Substituting the given values:
Volume = 160 micrograms / 200 micrograms per milliliter
Volume = 0.8 milliliters
Therefore, the nurse should administer 0.8 milliliters of the atropine sulfate solution.