Use the Central Limit Theorem to determine P(|XB – X Al > 4) under the assumption that ha= UB

(12 points) Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two in terms of maximum load capacity in tons. This is the maximum that can be tolerated without breaking. It is known that the two standard deviations in load capacity are equal at 10 tons each. An experiment is conducted in which 36 specimens of each alloy (A and B) are tested and the results gave X A = 149.5 and X B = 145.5 (a) Use the Central Limit Theorem to determine P(|XB – X Al > 4) under the assumption that ha= UB (b) Do the aforementioned experiments seem to, in any way, strongly support a conjecture that the two population load capacity are different? Explain using your answer in (a).