In: Statistics and Probability
Observation |
History |
Simulation |
1 |
111 |
109 |
2 |
113 |
106 |
3 |
76 |
126 |
4 |
83 |
98 |
5 |
104 |
96 |
Is there evidence to believe that the simulation adequately represents the real system with relation to this particular metric? Why or why not? State any assumptions you make.
Ho: Median of History is the same as the median of Simulation.
H1: Median of History is not the same as the median of Simulation.
The p-value of the Wilcoxon rank-sum test is 0.6905 and greater
than 0.05 level of significance. Hence, we can not reject the null
hypothesis.
There is evidence to believe that the simulation adequately represents the real system in relation to this particular metric.
The sample size is 5. So, it does not adequate to use the parametric test. So, the nonparametric Wilcoxon rank-sum test is used for this data. Therefore, we do not any assumptions for the test.