A new variety of pearl millet is expected to provide an increased yield over the variety presently in use which is about 60 bushels per acre. The new variety of millet produced an average yield of

x = 68 bushels

per acre with a standard deviation of

s = 12.7 bushels

based on 40 one-acre yields.What is the probability of observing a value of

z = 3.98

or greater if

H₀

is true? (Round your answer to four decimal places.)