Answer:
First Randomization
Xa = 12.5, Xb = 11.26, Xa-Xb = 1.24
Second Randomization
Xa = 11.36, Xb = 12.6, Xa-Xb = -1.24
Third Randomization
Xa = 11.98 Xb = 11.98, Xa-Xb = 0
Step-by-step explanation:
Mean is the average weight of the numbers. The formula for calculating mean is as shown:
Mean xbar = sum of numbers/Total number present.
For first randomization:
Mean of A Xa = 13.6+12.1+15.9+11.2+9.7/5
Xa = 62.5/5
Xa = 12.5
Xb = 8.2+8.2+11.5+13.8+14.6/5
Xb = 56.3/5
Xb = 11.26
Mean difference Xa - Xb = 12.5-11.26
Xa-Xb = 1.24
For second Randomization:
Xa = 8.2+13.8+15.9+9.2+9.7/5
Xa = 56.8/5
Xa = 11.36
Xb = 12.1+14.6+13.6+11.2+11.5/5
Xb = 63.0/5
Xb = 12.6
Mean Difference Xa-Xb = 11.36-12.6
Xa-Xb = -1.24
For third randomization:
Xa = 8.2+9.7+11.5+14.6+15.9/5
Xa = 59.9/5
Xa = 11.98
Xb = 12.1+13.8+13.6+11.2+9.2/5
Xb = 59.9/5
Xb = 11.98
Mean Difference Xa-Xb = 11.98-11.98
Xa-Xb = 0
