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In: Statistics and Probability

Question 3 A brain specialist performed an experiment to see if sensory deprivation over an extended...

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.

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