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 chi-square 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.