Tabulation of Results
Response x Treatment
	2.75	3	3.25	3.5	3.75	4	4.25	4.5	4.75	5
1.25	1	0	0	0	0	0	0	0	0	0
2.25	0	1	0	0	1	2	0	1	0	0
2.5	1	0	2	1	3	1	1	0	0	0
2.75	0	0	3	2	1	3	2	0	0	0
3	1	1	1	5	4	10	12	3	1	0
3.25	0	0	1	2	2	7	4	2	1	0
3.5	0	0	0	1	1	2	0	0	0	1
3.75	0	0	0	0	0	1	1	1	0	0

Tabulation of Expected Results
Response x Treatment
	2.75	3	3.25	3.5	3.75	4	4.25	4.5	4.75	5
1.25	0.03	0.02	0.08	0.12	0.13	0.29	0.22	0.08	0.02	0.01
2.25	0.16	0.11	0.38	0.6	0.66	1.43	1.1	0.38	0.11	0.05
2.5	0.3	0.2	0.69	1.09	1.19	2.57	1.98	0.69	0.2	0.1
2.75	0.36	0.24	0.85	1.33	1.45	3.14	2.42	0.85	0.24	0.12
3	1.25	0.84	2.92	4.59	5.01	10.86	8.35	2.92	0.84	0.42
3.25	0.63	0.42	1.46	2.3	2.51	5.43	4.18	1.46	0.42	0.21
3.5	0.16	0.11	0.38	0.6	0.66	1.43	1.1	0.38	0.11	0.05
3.75	0.1	0.07	0.23	0.36	0.4	0.86	0.66	0.23	0.07	0.03

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	87.65
Degrees of Freedom	63
P value	0.02