A pet association claims that the mean annual costs of routine veterinarian visits for dogs and cats are the same. The results for samples of the two types of pets are shown at the left. At α = 0.10, can you reject the pet association’s claim? Assume the population variances are equal.

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value(s) and identify the rejection region(s), 

(c) Find the standardized test statistic t, 

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

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed.

Transcribed Image Text:

Sample Statistics for Annual Costs of Routine Veterinarian Visits Dogs Cats X1 = $263 $1 = $30 16 X2 = $183 S2 = $27 п n2 = 18