If two people - one is a woman the other a man - are equally skilled how do you decide who to hire?

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Skills are only a fraction of the person. I would consider the job requirements; physical and mental, the attitude of the prospective employee, and first impression of the two individuals.  

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Gender is irrelevant when selecting suitable people for the job. There must be some difference in skills and suitability between your two candidates, and if you cannot find one, interview them again.  

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Its absolutely fine if both the sexes have equally good skill set for a company, but they have a different temperament of handling situations! The one whose good enough to do time, human management better is eligible to be selected for the respective position in the company!  

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This is actually a really good question. I work in a mostly male dominated trade. Roughly only 4% of my trade is women. It's not about gender. It's about the over all package. Being a woman in a trade that is dominated by sometimes rough, gruff, sarcastic, rude, crude, insecure, nasty, sometimes you have to hire the person that is not just fit for the trade but going on the same path as the company it's asking to work for. If you are totally qualified to do a job.... that doesn't mean you are the person for the job. Sometimes it's just not a good fit. I would have to say in a situation like this I would start to dig into character, what they have to offer the company besides their skill. Anyone can come in and do some mundane job, but it takes that extra somebody to come in everyday and show up with that edge and make it a different.
 

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It does not matter what sex they are, but by the skils they need to accomplish the job you are giving. If they have equal skills, it all comes down on how well their personal skills are. for example: the might have all of the reqiremnts for your job, but are they easy to talk to and a good representative of your company? Ex. They can help you with all of your marketing and planning, but when it comes to presenting your product they are worthless, it is better to go with the other intern.
If you would like to see a perfect, easy example of this, watch the movie RV. It has robin Williams in it. In the end it shows how one of the employees write great presentations, but is horrible at presenting them. I think you should watch this movie to get a better Jist of what i am trying to explain to you.
Good Luck, I hope you make the right choice! :)