Management at a call center company wants to evaluate two different call center locations. They are interested to see if the wait time for customers is the same at each center. To facilitate the analysis they capture data on the wait time for the first 500 days at each center on a given day. The attached file contains the wait time for each of the first 500 calls. Based on this data test the hypothesis that the wait times are the same for each configuration. Calculate the magnitude of the test statistic using the appropriate model and enter it to 3 decimal places. (Enter a positive number)

Call #	Center 1	Center 2
1	0	0
2	30.5	9.5
3	0	1.1
4	0	0
5	37	0
6	2.4	0
7	0	2.5
8	0	0
9	0	0
10	0	9
11	6.1	0
12	38.8	45.7
13	0.6	2.7
14	0	0
15	0	0
16	61.4	0
17	0	0
18	27.3	66.6
19	0	0
20	25.8	54.6
21	28.1	0
22	13.1	0
23	0	0
24	35.5	0
25	0	3.5
26	40.9	29.8
27	0	9.3
28	0	0
29	0	0
30	0	0
31	0	0
32	0	0
33	0	0
34	47.9	0
35	60.1	0
36	46.9	72.1
37	29.2	0
38	0	21.8
39	0	0
40	0	11.9
41	0	0
42	0	32
43	0	0
44	15.4	0
45	0	0
46	0	0
47	0	23.4
48	0	0
49	0	13.4
50	0	0
51	0	18
52	0	0
53	0	27.4
54	0	13.6
55	34.3	15.2
56	0	0
57	0	48.8
58	0	0
59	14.6	0
60	0	9.8
61	0	0
62	6.2	0
63	0	0
64	1.1	0
65	0	0
66	0	64.4
67	0	0
68	21.6	9.4
69	22.8	0
70	0	0
71	12.2	0
72	51.7	24.7
73	28.7	0
74	0	2.7
75	33.4	0
76	92	0
77	0	0
78	0	0
79	11.2	0
80	0	0.5
81	20	0
82	6.1	0
83	9.9	6.8
84	36.1	0
85	40.5	0
86	50.9	102.7
87	0	0
88	22.7	0
89	0	10.4
90	0	0
91	113.9	1.3
92	0	0
93	0	77.4
94	0	3.8
95	13.6	0
96	0	0
97	28.2	0
98	0	0
99	0	9.3
100	1.7	0
101	0	0
102	0	0
103	1.5	0
104	25	0
105	0	0
106	3.5	0
107	30.9	0.8
108	0	0
109	0	0
110	20.4	19.5
111	32.2	6.8
112	0.5	0
113	0	51.7
114	28.3	0
115	2.9	0
116	0	0
117	109.2	28.6
118	20	0
119	0	0
120	0	0
121	0	0
122	0	19.7
123	5.6	0
124	15.4	26.4
125	16.6	0
126	0	0
127	1.3	4.7
128	0	9.7
129	0	0
130	0	0
131	0	42.7
132	0	0.2
133	0	0
134	0	0
135	0	0
136	0	0
137	1.1	3.9
138	71.1	0
139	0	8.4
140	57.7	0
141	0	21.3
142	0	0
143	0	0
144	0	14.7
145	17.5	0
146	56.4	19.2
147	45.8	0
148	82.6	0
149	4	0
150	28.5	0
151	0	0
152	0	0
153	0	0
154	0	0
155	34.8	0
156	16.1	11.6
157	0	0
158	31.6	0
159	0	4.2
160	20.9	0
161	10.1	0
162	0	22.9
163	20.5	0
164	0	10.1
165	0	23.9
166	0	9
167	0	14
168	0	45.8
169	0	0
170	0	8.7
171	0	0
172	0	0
173	13.6	0
174	47.4	0
175	0	26.8
176	22.6	0
177	0.7	0
178	0	9.8
179	26.5	0
180	19.4	0
181	1.5	14.6
182	0	0
183	2.3	0
184	13.7	0
185	0	21.4
186	0	0
187	0.3	0
188	0	0
189	0	0
190	0	0
191	59.2	88.5
192	0	21.7
193	11.9	0
194	51.2	9.9
195	21.1	0
196	0	0
197	0	0
198	2.9	0
199	21	0
200	17.1	23.5
201	0	10.2
202	140.7	9.8
203	17.5	7.1
204	0	0
205	88.3	0
206	0	0
207	0	0
208	3.2	0
209	17.4	10.5
210	0	32.9
211	0	15.1
212	1.3	20.4
213	15.3	7.1
214	42.8	0
215	0	0
216	0	0
217	0	0
218	14.2	0
219	79.2	0
220	0	16.6
221	19.3	0
222	10.8	0
223	28.4	1.5
224	0	0
225	70.5	0
226	0	28
227	19.7	21.3
228	0	0
229	0	0
230	19.5	0
231	0	0
232	0	0
233	0	0
234	0	0
235	0	27.9
236	0	0
237	0	0
238	0	0
239	17.2	72.9
240	0.2	0
241	4	14.4
242	0	0
243	5.8	0
244	0	0
245	0	17.6
246	11.8	0
247	0	0
248	2.8	0
249	44.6	51.5
250	12	12
251	0	0
252	7.9	0
253	0	50.9
254	0	0
255	33.5	0
256	0	0
257	1	0.1
258	156.5	0
259	0	0
260	0	0
261	0	0
262	8.9	0
263	0	8
264	0	0
265	12.4	13.8
266	0	0
267	0	0
268	26.8	0
269	42.8	0
270	79.1	0
271	34.1	0
272	0	6.3
273	0	0
274	0	0
275	0	0
276	0	0
277	0	5.4
278	6	0
279	0	4.4
280	7.1	0
281	12	0
282	94.8	0
283	11.7	42.8
284	67.5	0
285	9.7	0
286	0	0
287	31.7	78.2
288	0	0
289	25.6	0
290	0	0
291	44.7	0
292	0	0
293	0	0
294	0	0
295	0	8.4
296	2.5	0.5
297	33.7	0
298	0	0
299	0	31.6
300	53.5	10
301	20.3	0
302	49.5	0
303	9.5	0
304	0	14.6
305	0	3.1
306	11.8	0
307	0	23.3
308	0.4	0
309	0	22.3
310	93.7	0
311	0	64.4
312	0	0
313	34.7	0
314	0.7	5.5
315	14.1	0
316	0	0
317	0	0
318	51.5	0
319	49.2	3.1
320	0	7.9
321	4.9	2.6
322	0	0
323	5.5	0
324	0	52
325	0	1.9
326	0	6.3
327	0	0
328	0	0
329	18.7	0
330	0	17.5
331	0	41.3
332	0	0
333	68.7	0
334	0	0
335	6.4	0
336	40.1	10.4
337	0	38.3
338	0	0
339	0	0
340	0	0
341	36.9	0
342	0	0
343	27	0
344	0	28.7
345	0	0
346	0	0
347	13.4	0
348	75.7	0
349	0	23.9
350	15.1	0
351	0	0
352	29	0
353	0	0
354	146.1	0
355	0	5.8
356	0.4	18
357	108.8	0.7
358	0	28.6
359	0	0
360	0	0
361	0	0
362	20.1	0
363	0.5	3.2
364	0	18.7
365	18.2	0
366	0	0
367	0	0
368	0	21.6
369	62.6	0
370	20.3	0
371	0	0
372	63.7	13.8
373	22.7	0
374	0	10.4
375	0	0
376	0	0
377	0	0
378	0	0
379	0	0
380	0.1	70.1
381	2.3	0
382	0	0
383	0	0
384	0	0
385	0	0
386	0	0
387	0	0
388	38.6	0
389	0	5.1
390	7.4	0
391	16.7	14.3
392	55.6	0
393	18.6	0
394	0	0
395	0	0
396	7.5	0
397	32.1	0
398	0	0
399	0	0
400	6.1	0
401	0	0
402	0	27
403	0	0
404	22	15.2
405	0	0
406	3.7	0
407	29.9	0
408	0	1.1
409	143.5	1.4
410	38.6	42.4
411	8.9	0
412	0	0
413	8.5	0
414	0	7.3
415	0	0
416	14.5	23.6
417	9.3	0
418	0	1.3
419	0	0
420	39.6	52.5
421	14.6	0
422	0	0
423	0	6.8
424	23.1	0
425	8.4	0
426	6.9	10.8
427	0	0
428	0	0
429	0	7.8
430	0	31.9
431	3.9	2.1
432	26.6	0
433	0	0
434	0	22.4
435	1.5	0
436	0	0
437	23.2	2.2
438	63.3	2.6
439	0	0
440	32.9	0
441	0	0
442	1.7	23.6
443	14.2	0
444	3.2	0
445	3.7	0
446	0	13.4
447	0	0
448	0	7.7
449	0	14.6
450	23.6	11.6
451	0.3	7
452	0	0
453	5.9	5.1
454	0	0
455	0	0
456	0	8.1
457	20.6	0
458	0	7.1
459	2.7	3.3
460	3.5	0
461	0	0
462	26.5	0
463	18.6	0
464	0	0
465	0	22
466	37.4	0
467	0	0
468	0	0
469	0	0
470	0	0
471	12	1.1
472	16.1	0
473	123.4	0
474	0	0
475	0	35
476	0	17
477	0	0
478	0	11.5
479	72.4	0
480	0	20.6
481	0	0
482	0	16
483	0	0
484	0	0
485	6.2	0
486	53.4	0
487	0	0
488	8.3	0
489	7.2	0
490	0	12.3
491	0	0
492	0	0
493	0	0
494	0	11.4
495	0	0
496	0	9.2
497	31.2	0
498	1.3	16.9
499	20.6	0