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It's simply because woman's Medulla oblongata is a lot smaller than the male's.

medulla oblongata, also called medulla, the lowest part of the brain and the lowest portion of the brainstem. The medulla oblongata is connected by the pons to the midbrain and is continuous posteriorly with the spinal cord, with which it merges at the opening (foramen magnum) at the base of the skull.

Like the cerebrum and cerebellum, the medulla consists of both myelinated (white matter) and unmyelinated (gray matter) nerve fibres. In the medulla, however, the normal anatomic relationship of the two is reversed, with the white matter on the outside and the gray matter on the inside, around the fourth ventricle (a fluid-filled cavity formed by the expansion of the central canal of the spinal cord upon entering the brain).

A complex network of medullary nerve cells and processes from elsewhere in the central nervous system enables the medulla to carry on complex integrative functions. The medulla also contains several functional centres that control autonomic nervous activity, regulating respiration, heart rate, and digestive processes. Other activities of the medulla include control of movement, relaying of somatic sensory information from internal organs, and control of arousal and sleep.

The last seven cranial nerves emerge from the medulla, which influences their functional activities. Injuries or disease affecting the middle portion of the medulla may produce paralysis of the opposite side of the body, loss of the senses of touch and position, or partial paralysis of the tongue. Injuries or disease of the lateral medulla may cause loss of pain and temperature sensations, loss of the gag reflex, difficulty in swallowing, vertigo, vomiting, or loss of coordination.