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Statistics: White Blood Cell Counts

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

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This solution is comprised of a detailed explanation of confidence interval for the difference between two population means. In this solution, step-by-step explanation of this complicated topic provides students with a clear perspective of confidence interval for independent sample t test. Formula and interpretation is provided with calculations.

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