Statement 1: The epidermis contains sensory receptors.
Statement 2: The skin colour is basically determined by the amount of melanin in the skin.
Both the statements are true
Most of the nerve tissue supplying the skin, including encapsulated and expanded receptors, are in the dermis. But the epidermis also contains some nerve tissue (the free nerve endings). Skin is the most extensive sensory receptor of the body, and both the two layers of it contain nerve tissue.
Melanin is produced within the skin in cells called melanocytes and it is the main determinant of the skin colour of darker-skinned humans. The skin colour of people with light skin is determined mainly by the bluish-white connective tissue under the dermis and by the haemoglobin circulating in the veins of the dermis.