Apple provides an online tool called ________ ________ _______ that lists account information based on an email address lookup.

The correct choice, Mail Settings Lookup, is the designated online tool provided by Apple to facilitate users in obtaining account information associated with their email address. This tool allows users to input their email address and receive relevant settings and information tied to that account. It's particularly useful for troubleshooting purposes, as it can help users identify the correct settings for their email services, including server information and configuration details for their Apple-related accounts.

The other options do not accurately represent Apple's official terminology for this tool. The term Account Information Tool, while it sounds plausible, does not refer to any specific Apple service and is too vague. Email Lookup Service is not an official term recognized in Apple's service offerings, and it may lead to confusion regarding the functionality it suggests. Lastly, Apple Account Lookup is also not a name used by Apple, and it doesn't specifically convey the tool's primary function related to email settings. Thus, the choice of Mail Settings Lookup is consistent with Apple's branding and user support resources.