The correct answer would be, Replicate.
Latonya recently published an article detailing her research in a peer reviewed journal. Mary is now examining Latonya's work and wants to repeat the research to see if she obtains similar results. Mary is going to replicate Latonya's work.
Explanation:
A peer reviewed journal is a journal, where articles, written by people, experts, etc, that are going to be published, are reviewed by other people, experts, before being published in the journal. These articles are being reviewed in order to make sure that the quality of the article is worth publishing.
So when Latonya published an article of her research in a peer reviewed journal, Mary examined that and wants to repeat Latonya's work to see if she gets the similar results. It means, Mary is going to reproduce or replicate the work of Latonya.
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