Normal systolic blood pressure is a function of age. For a woman, the normal systolic pressure, P, in millimeters of mercury (mm Hg) is modeled by P = 0.01 A2 + 0.05 A + 107
where A is age in years.
What is the approximate age of a woman whose normal systolic pressure measures 125 mm Hg?

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.