Final answer:
The projection level of the brain does not include the cerebellum, as it helps coordinate skeletal muscle activity and balance but is not part of the projection system influencing motor functions through the basal nuclei or reticular formation.
Step-by-step explanation:
The projection level of the brain does not include the cerebellum. The projection systems in the brain include pathways that are responsible for higher order functions, such as modulating sensory stimuli, attention, and movements. Specifically, the basal nuclei, brain stem nuclei, and reticular formation are involved in these processes. The basal nuclei, for example, are critical in motor function and cognitive processing. The brain stem nuclei and the reticular formation are involved in maintaining balance, posture, muscle tone, and in modulating alertness. On the other hand, the cerebellum, while it does help coordinate skeletal muscle activity and is important for balance and motor learning, it is not part of the projection system that influences motor functions through the basal nuclei or reticular formation.