A pet association claims that the mean annual cost of food for dogs and cats are the same. The results for samples for the two types of pets are shown below. At =0.01, can you reject the petassociation's claim? Assume the population variances are not equal. Assume the samples are random andindependent, and the populations are normally distributed. Complete parts(a) through(e) below.

Dogs Cats

x1=$231 x2=$196

s1=$32 s2=$28

n1=15 n2=9

(a) Identify the claim and state H0 and Ha.

(b) Find the criticalvalue(s) and identify the rejectionregion(s)

(c)Find the standardized test statistic.

(d) Decide whether to reject or fail to reject the null hypothesis

(e)Interpret the decision in the context of the original claim.