Part 1.A manager wishes to determine whether the mean times required to end a certain project differ for the three levels of employee training. He randomly selected 8 employees with each of the three levels of training (beginner, intermediate, and advanced). Does the data provide sufficient evidence to indicate that the mean times required to finish a certain task differ based on training?

Beginner	Intermediate	Advanced
10.5	6.5	3.5
11.0	10.5	7.5
15.5	11.0	10.25
21.5	7.5	6.25
32.0	18.0	4.0
12.0	7.0	5.75
22.5	14.5	2.5
30.0	13.5	3.5
Mean: 19.38	Mean: 11.06	Mean: 5.41
	Grand Mean: 11.95

*Dependent variable: time in hours to complete the project (continuous DV)

*Independent variable: level of training (categorical: beginner, intermediate, advanced)

*Make sure to show all work to get partial credit*

*Make sure to show your responses using proper statistical notation*

*It is acceptable to use Microsoft Excel if you include the spreadsheet.*

1. What are the null and alternative hypotheses for this one-way ANOVA?
2. Using a one-way ANOVA, is there a significant difference among the levels of training at p< .05

Part 2. Using a topic of your own interest, develop a study that can be analyzed using a one-way ANOVA. Remember, the example must include one categorical IV, and one continuous DV, and be a between subjects design. You don't need to conduct the ANOVA, just discuss the types of variables and the types of data required.

Take this dataset and enter it into SPSS. Run a one-way ANOVA. Do the hand calculations match your SPSS output? Include a screen shot of the SPSS output.

Table: Q scores for Tukey's method
				a = 0.05										a = 0.01
k	2	3	4	5	6	7	8	9	10		k	2	3	4	5	6	7	8	9	10
df										df
1	18.0	27.0	32.8	37.1	40.4	43.1	45.4	47.4	49.1	1	90.0	135	164	186	202	216	227	237	246
2	6.08	8.33	9.80	10.88	11.73	12.43	13.03	13.54	13.99	2	13.90	19.02	22.56	25.37	27.76	29.86	31.73	33.41	34.93
3	4.50	5.91	6.82	7.50	8.04	8.48	8.85	9.18	9.46	3	8.26	10.62	12.17	13.32	14.24	15.00	15.65	16.21	16.71
4	3.93	5.04	5.76	6.29	6.71	7.05	7.35	7.60	7.83	4	6.51	8.12	9.17	9.96	10.58	11.10	11.54	11.92	12.26
5	3.64	4.60	5.22	5.67	6.03	6.33	6.58	6.80	6.99	5	5.70	6.98	7.80	8.42	8.91	9.32	9.67	9.97	10.24
6	3.46	4.34	4.90	5.30	5.63	5.90	6.12	6.32	6.49	6	5.24	6.33	7.03	7.56	7.97	8.32	8.61	8.87	9.10
7	3.34	4.16	4.68	5.06	5.36	5.61	5.82	6.00	6.16	7	4.95	5.92	6.54	7.00	7.37	7.68	7.94	8.17	8.37
8	3.26	4.04	4.53	4.89	5.17	5.40	5.60	5.77	5.92	8	4.75	5.64	6.20	6.62	6.96	7.24	7.47	7.68	7.86
9	3.20	3.95	4.41	4.76	5.02	5.24	5.43	5.59	5.74	9	4.60	5.43	5.96	6.35	6.66	6.91	7.13	7.33	7.49
10	3.15	3.88	4.33	4.65	4.91	5.12	5.30	5.46	5.60	10	4.48	5.27	5.77	6.14	6.43	6.67	6.87	7.05	7.21
11	3.11	3.82	4.26	4.57	4.82	5.03	5.20	5.35	5.49	11	4.39	5.15	5.62	5.97	6.25	6.48	6.67	6.84	6.99
12	3.08	3.77	4.20	4.51	4.75	4.95	5.12	5.27	5.39	12	4.32	5.05	5.50	5.84	6.10	6.32	6.51	6.67	6.81
13	3.06	3.73	4.15	4.45	4.69	4.88	5.05	5.19	5.32	13	4.26	4.96	5.40	5.73	5.98	6.19	6.37	6.53	6.67
14	3.03	3.70	4.11	4.41	4.64	4.83	4.99	5.13	5.25	14	4.21	4.89	5.32	5.63	5.88	6.08	6.26	6.41	6.54
15	3.01	3.67	4.08	4.37	4.59	4.78	4.94	5.08	5.20	15	4.17	4.84	5.25	5.56	5.80	5.99	6.16	6.31	6.44
16	3.00	3.65	4.05	4.33	4.56	4.74	4.90	5.03	5.15	16	4.13	4.79	5.19	5.49	5.72	5.92	6.08	6.22	6.35
17	2.98	3.63	4.02	4.30	4.52	4.70	4.86	4.99	5.11	17	4.10	4.74	5.14	5.43	5.66	5.85	6.01	6.15	6.27
18	2.97	3.61	4.00	4.28	4.49	4.67	4.82	4.96	5.07	18	4.07	4.70	5.09	5.38	5.60	5.79	5.94	6.08	6.20
19	2.96	3.59	3.98	4.25	4.47	4.65	4.79	4.92	5.04	19	4.05	4.67	5.05	5.33	5.55	5.73	5.89	6.02	6.14
20	2.95	3.58	3.96	4.23	4.45	4.62	4.77	4.90	5.01	20	4.02	4.64	5.02	5.29	5.51	5.69	5.84	5.97	6.09
24	2.92	3.53	3.90	4.17	4.37	4.54	4.68	4.81	4.92	24	3.96	4.55	4.91	5.17	5.37	5.54	5.69	5.81	5.92
30	2.89	3.49	3.85	4.10	4.30	4.46	4.60	4.72	4.82	30	3.89	4.45	4.80	5.05	5.24	5.40	5.54	5.65	5.76
40	2.86	3.44	3.79	4.04	4.23	4.39	4.52	4.63	4.73	40	3.82	4.37	4.70	4.93	5.11	5.26	5.39	5.50	5.60
60	2.83	3.40	3.74	3.98	4.16	4.31	4.44	4.55	4.65	60	3.76	4.28	4.59	4.82	4.99	5.13	5.25	5.36	5.45
120	2.80	3.36	3.68	3.92	4.10	4.24	4.36	4.47	4.56	120	3.70	4.20	4.50	4.71	4.87	5.01	5.12	5.21	5.30
1	2.77	3.31	3.63	3.86	4.03	4.17	4.29	4.39	4.47	1	3.64	4.12	4.40	4.60	4.76	4.88	4.99	5.08	5.16