I don't think I've ever in my life been paid minimum wage at any manual labor job I've ever had. Everything I've ever done in that field of work (ranging from literally digging ditches with pick-axe and shovel to commercial interior/exterior remodeling) starting pay was generally 1.5-2× minimum wage and often higher.
When I think of minimum wage, I think motel janitorial, burger flipping, supermarket bagger, etc, though I suppose who pays minimum wage for what job also depends on location and employer.