A researcher conducted an experiment to see if specific eye
exercises can improve peripheral vision. A random sample of 5
people were rated for peripheral vision on a scale from 1 to 20,
where 9 is considered average and higher scores indicate better
peripheral vision. Then they followed the prescribed eye
exercise program and were rated again. The results follow
below.
Subject
1
2
3
4
5
Before
9
8
7
10
6
After
10
9
11
12
9
Test the hypothesis that the exercises improved peripheral
vision. Use a 5% significance level.
a. List the null and alternate hypotheses in terms of the
appropriate population parameter using =, <, or >.
b. Find the critical value(s) which determine(s) the
rejection and acceptance regions.
c. Compute the relevant test statistic and the
P-value.
d. Draw a conclusion. Do you reject the null
hypothesis or not?