Assume that we gather random samples from large batches of each of three different brands of a component and measure the lifetime of each selected component in hours.

1. Test whether the different brands of the component have equal average lifetimes at the 5% level of significance. Which of the differences between means, if any, are statistically significant? Report the lower and upper limits of the confidence intervals for significant differences (round continuing decimal values to three places).
2. Can you provide an ordering of the mean lifetime of the three brands?

Date #	Brand	Lifetime
1	1	753
2	1	752
3	1	752
4	1	751
5	1	749
6	1	753
7	1	746
8	1	753
9	1	745
10	1	751
11	1	755
12	1	747
13	1	746
14	1	750
15	1	755
16	1	748
17	1	755
18	1	747
19	1	750
20	1	755
21	1	753
22	1	750
23	1	749
24	1	752
25	1	747
26	1	749
27	1	751
28	1	746
29	1	753
30	1	749
31	1	752
32	1	746
33	1	753
34	1	753
35	1	749
36	1	752
37	1	748
38	1	745
39	1	752
40	1	756
41	1	748
42	1	747
43	1	754
44	1	750
45	1	746
46	1	747
47	1	744
48	1	743
49	1	751
50	1	754
51	1	749
52	1	755
53	1	750
54	1	753
55	1	754
56	1	750
57	1	747
58	1	750
59	1	752
60	1	757
61	1	752
62	1	749
63	1	752
64	1	751
65	1	751
66	1	750
67	1	754
68	1	752
69	1	750
70	1	742
71	1	754
72	1	750
73	1	749
74	1	747
75	1	747
76	1	748
77	1	753
78	1	750
79	1	752
80	1	748
81	1	753
82	1	756
83	1	749
84	1	745
85	1	755
86	1	749
87	1	744
88	1	749
89	1	750
90	1	755
91	1	745
92	1	753
93	1	756
94	1	752
95	1	752
96	1	753
97	1	745
98	1	752
99	1	751
100	1	749
101	2	749
102	2	745
103	2	740
104	2	749
105	2	749
106	2	751
107	2	744
108	2	750
109	2	748
110	2	747
111	2	743
112	2	751
113	2	751
114	2	746
115	2	754
116	2	747
117	2	747
118	2	747
119	2	744
120	2	746
121	2	744
122	2	741
123	2	748
124	2	747
125	2	747
126	2	748
127	2	743
128	2	744
129	2	745
130	2	743
131	2	750
132	2	743
133	2	744
134	2	751
135	2	745
136	2	747
137	2	745
138	2	743
139	2	749
140	2	743
141	2	750
142	2	751
143	2	747
144	2	744
145	2	741
146	2	743
147	2	745
148	2	745
149	2	746
150	2	750
151	2	745
152	2	743
153	2	747
154	2	745
155	2	744
156	2	746
157	2	746
158	2	749
159	2	745
160	2	747
161	2	750
162	2	744
163	2	747
164	2	746
165	2	746
166	2	747
167	2	746
168	2	743
169	2	744
170	2	747
171	2	751
172	2	746
173	2	746
174	2	744
175	2	748
176	2	746
177	2	745
178	2	747
179	2	742
180	2	744
181	2	747
182	2	743
183	2	744
184	2	747
185	2	749
186	2	749
187	2	747
188	2	747
189	2	748
190	2	744
191	2	746
192	2	744
193	2	745
194	2	747
195	2	746
196	2	747
197	2	746
198	2	741
199	2	745
200	2	749
201	3	757
202	3	754
203	3	754
204	3	756
205	3	756
206	3	753
207	3	756
208	3	757
209	3	752
210	3	753
211	3	758
212	3	755
213	3	756
214	3	756
215	3	754
216	3	748
217	3	750
218	3	760
219	3	754
220	3	758
221	3	751
222	3	752
223	3	754
224	3	757
225	3	754
226	3	756
227	3	752
228	3	751
229	3	753
230	3	754
231	3	756
232	3	755
233	3	757
234	3	751
235	3	757
236	3	750
237	3	757
238	3	755
239	3	751
240	3	750
241	3	759
242	3	759
243	3	760
244	3	756
245	3	750
246	3	753
247	3	751
248	3	753
249	3	760
250	3	759
251	3	759
252	3	756
253	3	754
254	3	755
255	3	753
256	3	751
257	3	756
258	3	753
259	3	756
260	3	754
261	3	753
262	3	758
263	3	749
264	3	753
265	3	755
266	3	759
267	3	755
268	3	754
269	3	760
270	3	763
271	3	755
272	3	758
273	3	756
274	3	759
275	3	753
276	3	756
277	3	761
278	3	756
279	3	750
280	3	758
281	3	753
282	3	750
283	3	756
284	3	758
285	3	751
286	3	756
287	3	756
288	3	751
289	3	753
290	3	754
291	3	758
292	3	755
293	3	753
294	3	755
295	3	753
296	3	757
297	3	757
298	3	758
299	3	758
300	3	756