Difference between the mean white blood cell count of female


Assignment:

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal, unless your instructor stipulates otherwise.

Sex and Blood Cell Counts White blood cell counts are helpful for assessing liver disease, radiation, bone marrow failure, and infectious diseases. Listed below are white blood cell counts found in simple random samples of males and females (based on data from the Third National Health and Nutrition Examination Survey).

a. Use a 0.01 significance level to test the claim that females and males have different mean white 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 result, 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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Basic Statistics: Difference between the mean white blood cell count of female
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