Problem 5 (11 pts) A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part, because it can lead to non- recoverable failure. A test is run at the parts producer to determine the effect of four factors on cracks. The four factors are pouring temperature (A), titanium content (B), heat treatment method (C), and amount of grain refiner used (D). Two replicates of a 24 design are run, and the length of crack (in mm) induced in a sample coupon subjected to a standard test is measured. The factorial effects for location are showed below: Effects Location y A -0.2131 B -0.1206 C -0.2919 D 0.2244 AB 0.0919 AC -0.0094 AD -0.1131 BC 0.0806 BD -0.1081 CD -0.0344 ABC -0.0144 ABD -0.0131 ACD -0.0044 BCD -0.0119 ABCD 0.1456 (a) (2 pts) Give the median of the absolute effects of location y. Then give the initial standard error defined as so = 1.5median