Chapter 8.1, Problem 15P

Veterinary Science: Colts The body weight of a healthy 3-month-old colt should be about μ − 60 kg (Source: The Merck Veterinary Manual, a standard reference manual used in most veterinary colleges).

1. (a) If you want to set up a statistical test to challenge the claim that μ = 60 kg, what would you use for the null hypothesis H₀?
2. (b) In Nevada, there are many herds of wild horses. Suppose you want to test the claim that the average weight of a wild Nevada colt (3 months old) is less than 60 kg. What would you use for the alternate hypothesis H₁?
3. (c) Suppose you want to test the claim that the average weight of such a wild colt is greater than 60 kg. What would you use for the alternate hypothesis?
4. (d) Suppose you want to test the claim that the average weight of such a wild colt is different from 60 kg. What would you use for the alternate hypothesis?
5. (e) For each of the tests in parts (b), (c), and (d), would the area corresponding to the P-value be on the left, on the right, or on both sides of the mean? Explain your answer in each case.