A tool type is a category of tools that have similar features and functions and can be used for similar purposes. A test manager is a person who is responsible for planning, monitoring, controlling, and reporting the test activities and results. A test manager needs to use tools that can help them with these tasks and provide them with useful information and insights. Some examples of tool types that are useful for a test manager are:

Defect tracking tool: This tool type allows the test manager to record, track, manage, and report the defects found during testing. It also helps the test manager to communicate with developers, testers, and other stakeholders about the defect status and resolution.

Test management tool: This tool type allows the test manager to organize, manage, and control the test process and its outcomes. It also helps the test manager to define the test strategy, plan the test activities, allocate the test resources, schedule the test execution, monitor the test progress, and evaluate the test results.

Requirements management tool: This tool type allows the test manager to manage and trace the requirements of the system under test. It also helps the test manager to ensure that the test objectives are aligned with the user needs and expectations and that the test coverage is adequate and complete.

The other tool types mentioned in the question are not as useful for a test manager as they are for other roles or purposes. For example:

Modeling tool: This tool type allows the user to create graphical or textual representations of software systems or processes. It can be used for design, analysis, simulation, or documentation purposes.

Static analysis tool: This tool type allows the user to examine the code or design of a software system without executing it. It can be used for finding defects, measuring complexity, checking compliance, or improving quality.

Coverage measurement tool: This tool type allows the user to measure how much of the code or design of a software system has been exercised by a set of test cases. It can be used for evaluating the effectiveness or completeness of testing.

You can find more information about tool types in A Study Guide to the ISTQB® Foundation Level 2018 Syllabus, Chapter 61.