This is off of owl.purdue.edu:
An analytical paper breaks down an issue or an idea into its component parts, evaluates the issue or idea, and presents this breakdown and evaluation to the audience.
Example of an analytical thesis statement:
An analysis of the college admission process reveals one challenge facing counselors: accepting students with high test scores or students with strong extracurricular backgrounds.
The paper that follows should:
Explain the analysis of the college admission process
Explain the challenge facing admissions counselors
Answer: Defensive listening
Explanation: When from some really innocent and not malicious comment someone made to us, in case Anne made that comment to Mary and Mary realised that as the attack ti her, then it was defensive listening. Mary made the wrong impression and answered sharply, and Anne did not deserve it. This can occur in a case, such as Mary, frustration or simply tension caused by a factor and not related to the person who made the innocent comment or question.