Test the sequence for randomness

Question

Discussion:

There is supposed to be a separate executive summary, covey style, no margin notes and a separate document with statistical test for case.

"Was the draft lottery random?

a. Use the runs test to test the sequence for randomness above and below the median of 183.5

Use the Kruskal-Wallis test to test the claim that 12 months had priority numbers drawn from the same population.

Calculate the 12 monthly means on a graph.

The horiz scale lists the 12 months and the vertical scale ranges from 100 to 260) Note any pater suggesting that the original priority numbers were not randomly selected.

Based on the results from parts a. b, c, decide whether this particular draft lotter was fair. Write a statement either supporting your position that it was fair or explain why you believe that it was not fair. If you decided that this lotter was unfair, describe a process for selecting lotter numbers that would have been fair.

Jan:	305	159	251	215	101	224	306	'199	194	325	329	221	318	238	17	121
	235	140	58	280	186	337	118	59	52	92	355	77	349	164	211
Feb:	86	144	297	210	214	347	91	181	338	216	150	68	152	4	89	212
	189	292	25	302	363	290	57	236	179	365	205	299	285
Mar:	108	29	267	275	293	139	122	213	317	323	136	300	259	354	169	166
	33	332	200	239	334	265	256	258	343	170	268	223	362	217	30
Apr:	32	271	83	81	269	253	147	312	219	218	14	346	124	231	273	148
	260	90	336	345	62	316	252	2	351	340	74	262	191	208
May:	330	298	40	276	364	155	35	321	197	65	37	133	295	178	130	55
	112	278	75	183	250	326	319	31	361	357	296	308	226	103	313
Jun:	249	228	301	20	28	110	85	366	335	206	134	272	69	356	180	274
	73	341	104	360	60	247	109	358	137	22	64	222	353	209
Jul:	93	350	115	279	188	327	50	13	277	284	248	15	42	331	322	120
	98	190	227	187	27	153	172	23	67	303	289	88	270	287	193
Aug:	111	45	261	145	54	114	168	48	106	21	324	142	307	198	102	44
	154	141	311	344	291	339	116	36	236	245	352	167	61	333	11
Sep:	225	161	49	232	82	6	8	184	263	71	158	242	175	1	1.13	207
	255	246	177	63	204	160	119	195	149	18	233	257	151	315
Oct:	359	125	244	202	24	87	234	283	342	220	237	72	138	294	171	254
	288	5	241	192	243	117	201	196	176	7	264	94	229	38	79
Nov:	19	34	348	266	310	76	51	97	80	282.	46	66	126	127	131	107
	143	146	203	l85	156	9	182	230	132	309	47	281	99	174
Dec:.	129	328	157	165	56	1.0	12	105	43	41	39	314	163	26	320	96
	304	128	240	135	70	53	162	95	84	173	78	123	16	3	100