Cambridgeshire and Peterborough Fire Authority are asking residents if they'd support a rise of 1.9% to its proportion of council tax for 2017/18.
Have Your Say On Addenbrookes
People who use Cambridge's Addenbrookes Hospital are being asked to tell inspectors what they think of care provided there
Inspectors say views from people in and around the city will help them decide what they need to look at when they inspect the site.
An events being held at Cambridge Rugby and Conference Centre, Volac Park, Grantchester Road on Tuesday, 21 April, from 6pm until 7.30pm.
Sir Mike said: "Our inspections are designed to provide people with a clear picture of the quality of the services in their local hospital, exposing poor or mediocre care as well as highlighting the many hospitals providing good and excellent care.
"We know there is too much variation in quality - these in-depth inspections allow us to get a much more detailed picture of care in hospitals than ever before.
"This is your opportunity to tell the team what you think, and make a difference to the NHS services in the local area."
The trust is being inspected and given an overall rating under radical changes introduced by the Care Quality Commission and it will be given an overall rating as a result of the inspection.
The inspection teams are made up of CQC inspectors as well as clinical and other experts, including trained members of the public.
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