The issue of sex and the Mormon Church is a little more complicated than that, however. The question is whether or not the church teachings to young people instill a healthy attitude towards sex in general. Another associated content producer wrote an article called "Sex and the Single Mormon" for those who want an overview of the doctrine of the church.
I do not know if there are any studies done on this and all the stories I have are anecdotal, but it seems many marriages have suffered because of the way the Church of Jesus Christ of Latter-day Saints teaches children to think about the act of procreation. Certainly, the Ex-Mormon and Post Mormon forums are full of wives and sometimes husbands complaining about how their partner feels that the act of sex is dirty. The spouses complain about how their Mormon partner's attitude affects their relationship, but it is unclear if this is a merely vocal fringe element or part of a much larger problem in Mormon culture.
In a religion where the women are encouraged to have as many children as possible, regardless of what personal ambition they might have, instilling in children the idea that sex outside of marriage is filth seems to contradict the goal of producing more young people to be raised in the Mormon faith. Rather than instilling in young people - both men and women - the idea that sex is dirty and unclean, it would instead be better to focus on the idea that the idea of procreation outside of marriage is sinful.
To be fair, the Mormon Church does not teach that sex inside of marriage is sinful, but by the time it becomes okay for young Mormons to procreate within the bonds of marriage, years of Sunday school lessons have taken their toll and it may be difficult for couples to engage in intimate relationships. Even worse, some people may hold off on marriage completely because they find the idea of being intimate with another person fearful.
A study on the how the Mormon church practices affect a couple's and individual's sex life would be ideal, but the most appropriate place to conduct such a study - Utah - would likely not be receptive to the idea. Even if the the Mormon outlook on sex is rather prudish and harmful to some individuals later, the Church of Jesus Christ of Latter-day Saints is not interested in looking at itself critically. Sadly, if the church would be willing to look at what it is doing rather than assume it is right on all matters things could change for the better for many people in the church and Utah might lower its high rate of antidepressant usage.