How to check Health Status of BIG-IP LTM

We are using BIG-IP LTM in our production environment. I am asked to submit "health check report" of the device on weekly basis. I am a bit confused in "Monitors , QKview, and Statistics"

 

What should I use to check the health of the device. What is the recommended and best way to report about health status?

 

Keeping in mind, the devices are in production so we cannot afford any downtime.

 

Any help will be appreciated. Thanks.