Reminds me of my early days as a rookie people manager. I was asked to estimate a project for a team that I had no idea about their abilities. I was very hesitant to estimate since I had no data to begin with. My manager asked me to throw a number and see if there is a push back!!!

I soon made a decision not to be a manager responsible for guess work based estimation and moved back to an IC role where I estimate effort for work assigned to me.