A.C. Bone has developed a duck hunting boot which they claim can remain immersed for more than 12 hours without leaking. Five hundred pairs of the boots are tested and the time until firstleakage is measured. The average time until first leakage for the sample is 12.25 hours with a standard deviation of 3.0 hours.
a. Find the P-value to test the claim that the average time until first leakage for the huntingboot is at least 12 hours.
b. Does this sample support A.C. Bone's claim at α = .05?