Amir throws a stone off of a bridge into a river. The stone’s height (in meters above the water) t seconds after Amir throws it is modeled by: h(t)=5t+20t+160

Amir wants to know when the stone will reach its highest point.

How many seconds after being thrown did the stone reach its highest point?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.