White blood cell counts are helpful for assessing liver disease, radiation, bone marrow failure, and infectious diseases. Listed below are recorded white blood cell counts.

A. Use a 0.01 significance level to test the claim that females and males have different mean blood cell counts

B. Construct a 99% confidence interval of the difference between the mean white blood cell count of females and males based on the results listed below. Does there appear to be a difference?

Female: 8.90, 6.50, 9.45 ,7.65, 6.40, 5.15, 16.60, 5.75, 11.60, 5.90, 9:30, 8.55, 10.80,
4.85, 4.90, 8.75, 6.90, 9.75, 4.05, 9.05, 5.05, 6.40, 4.05, 7.60, 4.95, 3.00, 9.10

Male: 5.25, 5.95, 10.05, 5.45, 5.30, 5.55, 6.85, 6.65, 6.30, 6.40, 7.85, 7.70, 5.30, 6.50, 4.55, 7.10, 8.00, 4.70, 4.40, 4.90, 10.75, 11.00 9.60