Question

a pet association claims that the mean annual costs of food for dogs and cats are the s the two types of pets are shown below. at α=0.05, can you reject the pet associations variances are equal. assume that the samples are random and independent, and the p distributed. complete parts (a) through (e).

dogs	cats
\\(s_1 = \\$31\\)	\\(s_2 = \\$28\\)
\\(n_1 = 15\\)	\\(n_2 = 19\\)

(a) identify the claim and state \\(h_0\\) and \\(h_a\\).
what is the claim?

a. \the mean annual cost of food for cats is greater than the cost for dogs.\
b. \the mean annual cost of food for dogs is greater than the cost for cats.\
c. \the mean annual costs of food for dogs and cats are equal.\
d. \the mean annual costs of food for dogs and cats are not equal.\

Explanation:

The pet association's claim is about the mean annual costs of food for dogs and cats being equal, as stated in the problem's first sentence. Option C matches this description. Options A and B suggest one mean is greater than the other, and D suggests they are not equal, which don't align with the given claim.

Answer:

C. "The mean annual costs of food for dogs and cats are equal."