In: Statistics and Probability
Question 3
A brain specialist performed an experiment to see if sensory deprivation over an extended period of time reduces the alpha-wave frequencies produced by the brain. To determine this, 10 subjects, inmates of a Correctional Centre, were randomly selected.
First, the members of the group were allowed to remain in their cells. Seven days later, alpha-wave frequencies were measured in Hertz for all subjects (nonconfined).
After that, the same group of subjects were placed in solitary confinement for seven days and their alpha-wave frequencies were measured again in Hertz.
The data from both confined and nonconfined groups of the experiment are recorded in the following table.
| 
 Subject #  | 
 Confined  | 
 Nonconfined  | 
| 
 1  | 
 7  | 
 8  | 
| 
 2  | 
 10  | 
 9  | 
| 
 3  | 
 9  | 
 10  | 
| 
 4  | 
 9  | 
 10  | 
| 
 5  | 
 10  | 
 11  | 
| 
 6  | 
 9  | 
 11  | 
| 
 7  | 
 11  | 
 11  | 
| 
 8  | 
 12  | 
 11  | 
| 
 9  | 
 11  | 
 12  | 
| 
 10  | 
 12  | 
 14  | 
Use a non-parametric test to investigate if the solitary confinement reduces the alpha-wave frequencies of the brain. In performing this test, state appropriate hypothesis (define any symbols used). Calculate the value of the test statistic, P-value of this test and write a meaningful conclusion.