The "finger-nose" test is used to test whether a person can carry out a series of motor actions to produce smooth and accurate movement.In this test, the doctor will hold his finger in front of the person, who has to touch the doctor's finger with his index finger and then touch his own nose. The test is repeated with the doctor's hand placed at different positions.

a) Describe the functions of each of the following structures when a person is performing the test:
i. the cerebrum
ii the spinal cord

b) A person thinks that he can locate the doctor's finger more precisely by closing one eye. Explain whether he is correct or not.
c) Suggest why a person will fail to touch the doctor's finger if his cerebellum is damaged.