Question

In an experiment on relaxation techniques, subjects’ brain signals were measured before and after the relaxation exercises with the following results:

Person	1	2	3	4	5
Before	31	38	62	52	28
After	27	36	58	49	24

Assuming the population is normally distributed, is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? (Use α=0.05)

a. This is a:

z-test for one proportion

t-test for the mean

t-test for matched pairs

z-test for the mean

t-test for the difference in 2 means

b. Find the sample statistic

3.4

3.2

42.2

38.8

c. Find the test statistic

0.3719

8.5

0.359

d. Our conclusion of the test is:

Fail to reject the null hypothesis which states there is no change in brain waves

Reject the null hypothesis which states there is no change in brain waves in favor of the alternate which states the brain waves slowed after relaxation

There is not enough information to make a conclusion.

Answer 1

B	A	d(A-B)
31	27	4
38	36	2
62	58	4
52	49	3
28	24	4
		3.4	Average
		0.8944	Stdev

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a) t-test for matched pairs

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P-value = T.DIST.RT(8.5,4) = 0.0005

P-value < 0.05 Reject Ho

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Reject the null hypothesis, Reject the null hypothesis