An experiment was performed to compare the fracture toughness of high-purity 18 Ni maraging steel with commercial-purity steel of the same type. For m = 32 specimens, the sample average oughness was x = 62.1 for the high-purity steel, whereas for n = 37 specimens of commercial steel y = 56.5. Because the high-purity steel is more expensive, its use for a certain application can ustified only if its fracture toughness exceeds that of commercial-purity steel by more than 5. Suppose that both toughness distributions are normal. (a) Assuming that a₁ = 1.2 and ₂ = 1.0, test the relevant hypotheses using a = 0.001. (Use ₁-₂, where #₁ is the average toughness for high-purity steel and #₂ is the average tough for commercial steel.) State the relevant hypotheses. Hỏi thịty 5 H₂H₁ H₂5 Ho: ₁₂=5 H₂i M₁ - H₂5 0 0 1 - 2 = 5 H₂H₁-H₂> 5 но: M1 -M2 =5 H₂H₁ H₂ S5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value= State the conclusion in the problem context. O Fail to reject Ho. The data does not suggest that the fracture toughness of high-purity steel exceeds that of commercial-purity steel by more than 5. Fail to reject Ho. The data suggests that the fracture toughness high-purity steel exceeds that of commercial-purity steel by more than 5. Reject Ho. The data does not suggest that the fracture toughness of high-purity steel exceeds that of commercial-purity steel by more than 5. Reject Ho. The data suggests that the fracture toughness of high-purity steel exceeds that of commercial-purity steel by more than 5.