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Assignment 4

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.

8) Rather than doing this problem by hand, I have input the data into an SPSS software package. The printout of the test results is included below. What is wrong with the information in the box below?

Paired Samples Test

-2.200

1.30384

-3.773

4

.020

BEFORE

- AFTER

Pair

1

Mean

Std.

Deviation

Paired Differences

t

df

Sig.

(2-tailed)