Sample 1	Sample 2	Sample 3	Sample 4	ProcessingTime	Class 2
11.55	11.62	11.91	12.02	7.187198	Plant3
11.62	11.69	11.36	12.02	7.989601	Plant2
11.52	11.59	11.75	12.05	11.26615	Plant1
11.75	11.82	11.95	12.18	6.528318	Plant3
11.9	11.97	12.14	12.11	9.045739	Plant1
11.64	11.71	11.72	12.07	6.983568	Plant2
11.8	11.87	11.61	12.05	8.534597	Plant2
12.03	12.1	11.85	11.64	9.70393	Plant2
11.94	12.01	12.16	12.39	8.517197	Plant1
11.92	11.99	11.91	11.65	8.1958	Plant3
12.13	12.2	12.12	12.11	8.611301	Plant3
12.09	12.16	11.61	11.9	9.535576	Plant2
11.93	12	12.21	12.22	9.107972	Plant3
12.21	12.28	11.56	11.88	6.308531	Plant3
12.32	12.39	11.95	12.03	10.08485	Plant1
11.93	12	12.01	12.35	8.547006	Plant3
11.85	11.92	12.06	12.09	9.115515	Plant3
11.76	11.83	11.76	11.77	9.736029	Plant1
12.16	12.23	11.82	12.2	8.104529	Plant3
11.77	11.84	12.12	11.79	8.747056	Plant2
12	12.07	11.6	12.3	8.176643	Plant1
12.04	12.11	11.95	12.27	10.37873	Plant3
11.98	12.05	11.96	12.29	7.713026	Plant1
12.3	12.37	12.22	12.47	9.967078	Plant1
12.18	12.25	11.75	12.03	7.370988	Plant1
11.97	12.04	11.96	12.17	7.503853	Plant1
12.17	12.24	11.95	11.94	8.276488	Plant2
11.85	11.92	11.89	11.97	8.72514	Plant2
12.3	12.37	11.88	12.23	9.090859	Plant1
12.15	12.22	11.93	12.25	9.0159	Plant3

Case 2 Use the Quality dataset for this question Four random samples of size 30 were taken periodically to monitor the manufacturing process on an ongoing basis. By analyzing the four samples, you want to quickly learn whether the process was operating satisfactorily. When the process was not operating satisfactorily, corrective action could be taken to eliminate the problem. The design specification indicated the mean for the process should be 12. The hypothesis test suggested by Quality Associates follows: Corrective action will be taken any time H0 is rejected. 1. Show the mean, standard deviation, and p=value for test statistic for each sample (20 points) 2. Which sample need corrective action? (5 points) 3. Test whether the mean processing time is different in the three plants, report your test statistics and p-value to explain your conclusion. Which test statistics did you use? (10 points). 4. Use the T-test for repeated measures to test the differences between (Sample 1 and SampleZ), and (sample 1 and sample 3). Report your test statistics estimates (T statistic (T ratio in your output, p-value for your test) for each pair tested and interpret your results. (15 points)