Critique the Argument for Mandatory Quiet Study Hours

The following appeared in a letter to the editor of a local newspaper:

"A recent study shows that students who study in quieter environments score higher on tests compared to those who study in noisy areas. Therefore, to improve student performance, our school should implement mandatory quiet study hours in the library. This policy will ensure that students can maximize their study potential and achieve better grades."

Write a critique of this argument, discussing any potential weaknesses or assumptions the author makes. Support your critique with examples or evidence where appropriate.