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:

Male Female Female Male Female Male Female Female Female Male

2 1 0 0 2 3 2 1 0 4

Use this sample to do each of the following:

(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.