Actually, there is an error in your response. The correct statement about spermatogenesis is:
Primary spermatocytes are diploid, while secondary spermatocytes are haploid.
Spermatogenesis is the process of producing sperm cells in the testes. It begins with germ cells called spermatogonia that undergo mitotic division to produce primary spermatocytes, which are diploid (having the full set of chromosomes). These primary spermatocytes then undergo meiosis I to produce two secondary spermatocytes, which are haploid (having half the number of chromosomes). Meiosis II then occurs, resulting in the formation of four haploid round spermatids. These spermatids will eventually go through further differentiation and maturation to become sperm cells.
So, the correct choice is the third one, that primary spermatocytes are diploid and secondary spermatocytes are haploid.
Regarding the other statements you mentioned, they are not true about spermatogenesis. Sperm production occurs at a temperature a few degrees below body temperature, not above it. The sperm cell consists of various structures, including the acrosomal unit, haploid nucleus, coiled mitochondria, and tail, but it does not have a corpus luteum. The centriole does play a role in sperm formation, but it does not contain the genetic information of the sperm cell; that information is contained in the nucleus.
I hope this clarifies the concept of spermatogenesis for you. If you have any further questions, feel free to ask!