Bottom line, there is no difference in the quality of muscle between men and women. Since there is no difference in muscle tissue strength, there is no difference in how muscle tissue responds to exercise. As stated earlier, women do not develop the muscle mass men do. Although this is true, it should be noted that women do develop muscle from weight training, just not to the same degree as men. This is due to the increase in lean muscle tissue and a reduction in fatty body weight.
Lean muscle has a greater density than fat so it weighs more and takes up less space.
Women may lose inches but not weight. It is for these purposes that a female should gauge fat loss through body composition assessment and not weight scales.