I monitor the amount of battery left on my computer so I can make sure it doesn't die at the wrong time. My battery loses charge at a constant rate.

This graph shows the percent of charge left on my computer, c, after I have been awake for h hours.

What was the percent charge when I woke up?

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.