Final answer:
There should not be a period within the quotation marks if the sentence continues after the quote or if it's a part of a larger sentence structure.
Step-by-step explanation:
According to Jones, "Sleep deprivation is the cause of many health-related problems." Should there be a period in this sentence? No, there should not be a period within the quotation marks if the sentence continues after the quote or if the quote is integrated into a larger sentence structure. If the quote constitutes the complete sentence and there are no additional clauses or phrases following it, then a period at the end would be appropriate.