Ten single people were asked to state the number of pets they had in the last 2 years. This number, along with their gender was recorded in the following dataset:

Use this sample to do each of the following:

Male: 2

Female: 1

Female: 0

Male: 0

Female: 2

Male: 3

Female: 2

Female: 1

Female: 0

Male: 4

(a)State a 99% confidence interval for the difference between the average numbers of pets that men and women have.

(b)Conduct a 99% confidence level hypothesis test to test if the average numbers of pets that men have is equal to the average number of pets that women have.