Difference in the variation of the number

Question

Discuss the following:

a. At the .10 significance level, is ther a difference in the variation of the number of stolen bases among the teams that play their home games on natural grass versus artificial turf?

b. Create a variable that classifies a team's total attendance into three groups: less than 2.0 (million), 2.0 up to 3.0, 3.0 and more. At the .05 significance level, is there a difference in the mean number of games won among the three groups?

c. Using the same attendance variable developed in part (b), is there a difference in the mean team batting average?

d. Using the same attendance variable developed in part (b), is there a difference in the mean salary of the three groups?

Team	League	Built	Size	Salary	Attendance	Wins	ERA	Batting	HR	Surface	Stolen	Errors	Year	Average	Median
Boston	1	1912	33871	93.9	2585895	85	4.23	0.267	167	0	318	109	1976	52300
New York Yankees	1	1923	57746	113.4	3227657	87	4.76	0.277	205	0	182	109	1977	74000
Oakland	1	1966	43662	33	1728885	91	4.58	0.27	239	0	184	134	1978	97800
Baltimore	1	1992	48262	59.2	3297031	74	5.37	0.272	184	0	208	116	1979	121900
Anaheim	1	1966	45050	58.7	2066982	82	5	0.28	236	0	202	134	1980	146500
Cleveland	1	1994	43368	78.7	3456278	90	4.84	0.288	221	0	218	72	1981	196500
Chicago	1	1991	44321	36.9	1947799	95	4.66	0.286	216	0	158	133	1982	245000
Toronto	1	1989	50516	54.6	1819919	83	5.14	0.275	244	1	198	100	1983	289000	207500
Minnesota	1	1982	48678	15.8	1059415	69	5.14	0.27	116	1	128	102	1984	325900	229750
Tampa Bay	1	1990	44027	55.2	1479782	69	4.86	0.257	162	1	228	118	1985	368998	265833
Texas	1	1994	52000	61.4	2800075	71	5.52	0.283	173	0	130	135	1986	410517	275000
Detroit	1	2000	40000	60.6	2533753	79	4.71	0.275	177	0	110	105	1987	402579	235000
Seattle	1	1999	45611	62.6	3148317	91	4.49	0.269	198	0	164	99	1988	430688	235000
Kansas City	1	1973	40529	24.5	1677915	77	5.48	0.288	150	0	236	102	1989	489539	280000
Atlanta	0	1993	50062	95	3234304	95	4.05	0.271	179	0	198	129	1990	589483	350000
Arizona	0	1998	49075	80.8	2819539	85	4.35	0.265	179	0	204	107	1991	845383	412000
Houston	0	2000	42000	52	3056139	72	5.42	0.278	249	0	222	133	1992	1012424	392500
Cincinnati	0	1970	52953	35.1	2577371	85	4.33	0.274	200	1	162	111	1993	1062780	371500
New York Mets	0	1964	55775	89.7	2820530	94	4.16	0.263	198	0	266	118	1994	1154486	450000
Pittsburgh	0	1970	47972	31.9	1748908	69	4.94	0.267	168	1	202	132	1995	1094440	275000
Los Angeles	0	1962	56000	94.2	3011539	86	4.1	0.257	211	0	212	135	1996	1101455	300000
San Diego	0	1967	53166	54.7	2423149	76	4.52	0.254	157	0	212	141	1997	1314420	400000
Montreal	0	1976	46500	28	926272	67	5.13	0.266	178	1	246	132	1998	1384530	427500
San Francisco	0	1900	40800	54.2	3318800	97	4.21	0.278	226	0	194	93	1999	1567873	495000
St Louis	0	1966	49625	72.4	3336493	95	4.38	0.27	235	0	138	111	2000	1983849	700000
Florida	0	1987	42531	25.9	1218326	79	4.59	0.262	160	0	208	125
Philadelphia	0	1971	62411	36.7	1612769	65	4.77	0.251	144	1	154	100
Milwaukee	0	1953	43000	33.8	1573621	73	4.63	0.246	177	0	172	118
Chicago Cubs	0	1914	38957	51.1	2789511	65	5.25	0.256	183	0	188	100
Colorado	0	1995	50381	56	3295129	82	5.26	0.294	161	0	204	94