The statement I states that an anticyclone, which is a high pressure wind system, does not bring about significant changes in weather conditions. This statement is true. Anticyclones are characterized by sinking air and the absence of clouds, making them stable weather systems. They are often associated with clear and calm weather.

The statement II explains that the outward movement of wind from the high pressure center of an anticyclone keeps limited scope for weather disturbance. This statement is also true. The high pressure center of an anticyclone causes the air to diverge and move away from the center. As a result, the air tends to sink and suppress vertical movement, leading to stable atmospheric conditions and limited opportunities for weather disturbances such as cloud formation or precipitation.

Therefore, both statements are true, and statement II is the correct explanation of statement I. The outward movement of wind and the absence of significant weather disturbances are linked to the characteristics of anticyclones, making the explanation accurate.