Question

Test the claim of a pet association that the mean annual costs of routine veterinarian visits for dogs and cats are not the same. In a sample of 7 dogs the mean cost was $225 with a standard deviation of $28, and in a sample of 10 cats the mean cost was $203 with a standard deviation of $15.

[2 points] Give the null and alternate hypotheses.
[6 points] What test on the calculator will you use? ______________________

Give the test statistic.   _______________________

Give the P-value.     ________________________

Answer 1

Solution

1)

Give the null and alternate hypotheses.

2)

What test on the calculator will you use?

Here we have two independent sample for cat and dog so we will use independent t-test to test that the mean annual costs of routine veterinarian visits for dogs and cats are same or not.

3)

5)

(5) Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the mean annual costs of routine veterinarian visits for dogs and cats are not the same,at the 0.05 significance level.