Erika jumped off a cliff into the ocean in Acapulco while vacationing with some
friends. Her height as a function of time
could be modeled by the function
h(t) = -16t2 + 16t + 96 where t is the time in
seconds and h is the height in feet. a) How long did it take Erika to reach her
maximum height?
b) What was the highest point that Erika
reached?
c) After how many seconds did Erika hit the
water?

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.