Homework Five. Can you match the results below, in Excel, do you agree or disagree with the comments.

a. The t-test results are:

	React1 vs. React2 t-Test Analysis
	N	Mean	Std. Dev	Std. Err	t	df	p-value	lower 95%	upper 95%
Difference	14	0.00350	0.020843	0.005570	0.628	13	0.541	-0.00853	0.01553
	React1 vs. React3 t-Test Analysis
	N	Mean	Std. Dev	Std. Err	t	df	p-value	lower 95%	upper 95%
Difference	14	0.01429	0.016198	0.004329	3.300	13	0.006	0.00493	0.02364
	React2 vs. React3 t-Test Analysis
	N	Mean	Std. Dev	Std. Err	t	df	p-value	lower 95%	upper 95%
Difference	14	0.01079	0.019589	0.005235	2.060	13	0.060	-0.00052	0.02210

As the meet continues, the reaction time drops with each round. The drop is not significant between round 1 around round 2, but it is significant when the first round is compared with the third round and almost significant when the second round is compared with the third.

b. The P-plots for each paired difference are:

There is no reason to reject an assumption for normality for the 1 to 2 plot and for the 1 to 3 plot; however there are some problems with the 2 to 3 plot. One value appears out of line with the others, making it appear as if the data were not normally distributed.

c. The Wilcoxon test results are:

	React1 vs. React2 Wilcoxon Sign Rank Analysis
	N	N < 0	N = 0	N > 0	Median	p-value	lower 95%	upper 95%
Difference	14	5	1	8	0.00750	0.542	-0.00800	0.01700
	React1 vs. React3 Wilcoxon Sign Rank Analysis
	N	N < 0	N = 0	N > 0	Median	p-value	lower 95%	upper 95%
Difference	14	1	2	11	0.01100	0.003	0.00400	0.02450
	N	N < 0	N = 0	N > 0	Median	p-value	lower 95%	upper 95%
Difference	14	4	0	10	0.01000	0.078	-0.00050	0.02100

The results match what was observed using the t-test: 1) There is no significant difference between round 1 and round 2, 2) There is a significant difference between round 1 and round 3, and 3) There is no significant difference between round 2 and round 3 at the 5% level, but there is one at the 10% level.

d. The reaction times decrease as the sprinters advance in the competion. There is not a significant decrease in the reaction times between the first and second round, but comparing the third round reaction times to those in the first show a significant decrease of 0.014 seconds.