Question

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.)
(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?
μ ≠ 60
μ > 60
μ = 60
μ < 60
(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?
μ > 60
μ < 60
μ ≠ 60
μ = 60
(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?
μ = 60
μ < 60
μ ≠ 60
μ > 60
(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?
μ = 60
μ ≠ 60
μ > 60
μ < 60
(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?
both; left; right
right; left; both
left; right; both
left; both; right

Answer 1

Answer:

a

  The null hypothesis will be  $H_o : \mu = 60 \ kg$

b

  The alternative hypothesis will be  $H_a : \mu < 60$

c

  The alternative hypothesis will be  $H_a : \mu > 60$

d

  The alternative hypothesis will be  $H_a : \mu \ne 60$

e

  left; right; both

Step-by-step explanation:

Considering question a

    The body weight of the colt is  $\mu = 60 \ kg$

    The null hypothesis will be  $H_o : \mu = 60 \ kg$

Considering question b

    Given that we want to test the claim that the average weight of a wild Nevada colt is less than 60 kg , then

The alternative hypothesis will be  $H_a : \mu < 60$

Considering question c

       Given that we want to test the claim that the average weight of such a wild colt is greater than 60 kg , then

The alternative hypothesis will be  $H_a : \mu > 60$

Considering question d

   Given that we want to test the claim that the average weight of such a wild colt is different from 60 kg , then

The alternative hypothesis will be  $H_a : \mu \ne 60$

Considering question e

   For question b  , the corresponding p-value will be on the left because the average weight is less than 60 kg

   For question c  , the corresponding p-value will be on the right  because the average weight is more than 60 kg

   For question d  , the corresponding p-value will be on both  because the average weight is different from  60 kg