Factor V is a protein involved in the forming of blood clots. The higher the level of factor V, the faster the blood clots. A Blood Transfusions Service is interested in the effects of sterilization of blood plasma because factor V is unstable and may break down during sterilization. The table below gives measured levels of factor V in blood samples from nine donors. Both pre and poststerilization measurements are given for each person. Test whether the mean factor V levels are different poststerilization. Run the test at a 5% level of significance. Give each of the following 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value.
Factor V measurements
Donor number

PreSterilization

PostSterilization

1

1025

985

2

1060

1030

3

953

923

4

847

892

5

750

650

6

855

759

7

947

828

8

978

884

9

899

809

(1)
Here, the claim of the test is that the mean factor V levels are different poststerilization.
The test hypotheses are given below:
(2)
In matchedpair design, the subjects are paired according to particular characteristics after which a subject is assigned to a treatment group and another subject.
Here, the samples are dependent. Hence, paired t test is appropriate.
(3)
Rejection rule:
(4)
Stepbystep procedure to obtain the test statistic and pvalue using Excel:
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