John is planning to go on a cross country drive with his family. His Japanese minivan has been generally reliable but has 90,000 miles on it. So he wants to determine if the vehicle is mechanically sound for the arduous trip. He did a visual inspection of the vehicle and checked the oil and antifreeze levels and everything appears to look okay. The null and alternative hypotheses are given below. H0: minivan is mechanically sound Ha: minivan is not mechanically sound (a) What would a Type-I error be in this situation? (b) What would a type-II error be in this situation? (c) Which error is more consequential in this situation and why?

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  1. John is planning to go on a cross country drive with his family. His Japanese minivan has been generally reliable but has 90,000 miles on it. So he wants to determine if the vehicle is mechanically sound for the arduous trip. He did a visual inspection of the vehicle and checked the oil and antifreeze levels and everything appears to look okay. The null and alternative hypotheses are given below.

H0: minivan is mechanically sound

Ha: minivan is not mechanically sound

(a) What would a Type-I error be in this situation?

(b) What would a type-II error be in this situation?

(c) Which error is more consequential in this situation and why?

(d) What impact would going to an honest mechanic have on the Type-I and Type-II errors and why?

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