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 of 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:
|
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.
1) Are these samples dependent or independent? Explain your choice.
2) State the null and alternate hypotheses.
3) Calculate your test statistic.
4) Is this a one-tailed or two-tailed test?
5) What is the p-value of your test statistic?
6) Conclude your test.
7) Explain your conclusion in the context of the problem.