The time it takes for the music player to fall from the bridge to the bottom of the ravine can be modeled by the following equation: where t is the amount of time since the construction worker dropped his music player.

Will the safety balloon release in time?
First, how long will it take for the music player to fall to the bottom of the ravine? Solve the equation and find the values of t. (2 points: 1 point for each value)

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.