Step 1: Preheat oven to 350°F. Coat a 9" x 5" loaf pan with nonstick cooking spray.
Step 2: Place bananas in a large bowl and mash with an electric mixer. Stir in sugar and let stand 15 minutes.
Step 3: Add applesauce and eggs and beat well. Add remaining ingredients and mix thoroughly.
Step 4: Pour mixture into loaf pan and bake 55 minutes, or until a wooden toothpick inserted in center comes out clean.
Step 5: Remove from oven and let stand 10 minutes before removing from pan.