Does it mean " this time at the end of the week"??
Claims for the week ended March 15 were revised to show 1,000 more applications received than previously reported. Economists polled by Reuters had forecast first-time applications for jobless benefits rising to 325,000 in the week ended March 22.
Best Answer
If I understand "this time" in your question to mean the times March 15 and March 22 in your quote, the answer is yes. The grammar is incorrect, however; correct is "the week ending March 15/March 22".
You can also say "the week which ended on March 15" if you like, but that's rather wordy. (Wordiness has its place, but usually conciseness is preferable.)