Final answer:
The somatic nervous system branch of the peripheral nervous system is responsible for the student raising her hand in class, as it controls voluntary muscle movements.
Step-by-step explanation:
Peripheral Nervous System and Hand Movement
When a student raises her hand to answer a teacher's question, the somatic nervous system branch of the peripheral nervous system is responsible for the hand going up. This system is tasked with our voluntary responses to our environment, using skeletal muscles to execute movements. In the scenario of raising a hand, the brain sends a message down the motor neurons to activate the muscles necessary for the arm to be lifted.
The somatic nervous system is a part of the motor division of the peripheral nervous system, which carries messages from the central nervous system to the muscles. This is in contrast to the autonomic nervous system, which controls involuntary functions such as heart rate and digestion. In the case of the student, her voluntary, conscious decision to raise her hand to participate in class exemplifies the somatic nervous system at work.