1. [2/5 points) DETAILS PREVIOUS ANSWERS DEVORESTAT9 9.1.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An experiment w

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1 2 5 Points Details Previous Answers Devorestat9 9 1 010 My Notes Ask Your Teacher Practice Another An Experiment W 1 (85.16 KiB) Viewed 92 times

1. [2/5 points) DETAILS PREVIOUS ANSWERS DEVORESTAT9 9.1.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 = 34 specimens, the sample average toughness was x = 65.1 for the high-purity steel, whereas for n = 38 specimens of commercial steel y = 59.6. Because the high-purity steel is more expensive, its use for a certain application can be justified 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 01 = 1.3 and 0 2 = 1.0, test the relevant hypotheses using a = 0.001. (Use My - My, where Hy is the average toughness for high-purity steel and plz is the average toughness for commercial steel.) State the relevant hypotheses. OHO: H1 – My = 5 H: My - My S5 O Ho: My - H₂ = 5 , = 5 H: M1 - 4275 © Ho: 1 - 2 = 5 Hai My - 4₂ >5 > 5 O Ho: Hi-u2 = 5 на: 1 – 2 < 5 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 = 2.54 x P-value = State the conclusion in the problem context. 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. O Fail to reject Ho. The data suggests that the fracture toughness of 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. (b) Compute B for the test conducted in part (a) when My - W2 = 6. (Round your answer to four decimal places.) B = 3016 X You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It