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 post-sterilization measurements are given for each person. Test whether the mean factor V levels are different post-sterilization. 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 Pre-Sterilization Post-Sterilization 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
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 post-sterilization measurements are given for each person. Test whether the mean factor V levels are different post-sterilization. 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
|
Pre-Sterilization
|
Post-Sterilization
|
|
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
|
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