they won't take this mistake the wrong way and address it as a honest mistake of you not knowing all the rules and regulations of the USCIS.
A rather naive and uninformed opinion.
The IOs adjudicating naturalization applications have a fair amount of discretion on some issues, but there are many specific legal requirements that are explicitly spelled out in the relevant laws and regulations and which the IOs cannot disregard. Pleading ignorance of the rules does not work in such cases (and it rarely does in general when dealing with USCIS).
E.g. there are plenty of cases, including those reported in this forum, where an N-400 is denies because it was filed a couple of days too early, before the applicant became eligible. The fact that an applicant made an honest mistake in such cases is irrelevant.
INA 334 explicitly requires that each applicant for naturalization sign his/her application before filing, except for cases of physical disability:
http://www.uscis.gov/ilink/docView/SLB/HTML/SLB/0-0-0-1/0-0-0-29/0-0-0-10276.html#0-0-0-443
"Sec. 334. [8 U.S.C. 1445]
(a) An applicant for naturalization shall make and file with the Attorney General a sworn application in writing,
signed by the applicant in the applicant's own handwriting, if physically able to write".
There is no wiggle room here.
Similarly, the USCIS Adjudicator's Field Manual makes it clear that a signature by the applicant in part 11 of N-400 is required before N-400 is filed:
http://www.uscis.gov/portal/site/us...toid=fa7e539dc4bed010VgnVCM1000000ecd190aRCRD
"(k) Part 11: Signature
(1) Name and Signature on the Application . The N-400 reads:
Signature and Date Please Note: If you do not completely fill out this form, or fail to submit required documents listed in the instructions, you may not be found eligible for naturalization and this application may be denied.
An applicant must legibly sign his or her full, true and correct name without abbreviation or initials, in his/her own handwriting, if physically able to do so. Applicants with disabilities may need an accommodation when signing his or her application. [...] Part 11 of the N-400 should be completed prior to the applicant filing the application. When the applicant signs Part 11, he or she is certifying (or if outside the United States swearing or affirming,) under penalty of perjury under the laws of the United States of America, that his or her N-400 application, and the evidence submitted with it, is all true and correct. Also, by signing this section of the N-400, he or she is authorizing the release of any information from his or her records which the USCIS may need to determine eligibility for the benefit he or she is seeking. See section 334 of the Act."
In view of an explicit requirement by INA 334 that the naturalization application must be signed by the applicant prior to filing (except in cases of physical disability), I can't see how the USCIS could possibly approve the OP's application.