Difference in the idle time between the two shifts

Question

Discuss the below:

Q1. The idle times during the eight-hour day shift and the night shift are to be compared. A time study revealed the following numbers of minutes of idle time for eight-hour periods.

Day shift: 92, 103, 116, 81, 89
Night shift: 96, 114, 80, 82, 88, 91

Is there a difference in the idle time between the two shifts? Test at the .05 level.

Q2. Refer to the Baseball 2002 data which reports information on the 2002 Major League Baseball season.

a. Rank the teams by the number of wins and their total team salary. Compute the coefficient of rank correlation between the two variables. At the .01 significance level, can you conclude that it is greater than zero?

b. Assume that the distributions of team salaries for the American League and National League do not follow the normal distribution. Conduct a test of hypothesis to see if there is a difference in the two distributions.

Team	League	Built	Size	Salary	Attendance	Wins	ERA	Batting	HR	Surface	Stolen	Errors	Year	Average	Median
Boston	1	1912	33871	113.7951	2650.862	93	3.75	0.277	177	0	80	104	1976	52300
New York Yankees	1	1923	57746	175.3271	3465.807	103	3.89	0.275	223	0	99	127	1977	74000
Oakland	1	1966	43662	65.87809	2169.811	103	3.69	0.261	205	0	46	102	1978	97800
Baltimore	1	1992	48262	72.08534	2682.439	67	4.46	0.246	165	0	110	91	1979	121900
Anaheim	1	1966	45050	77.18375	2305.547	99	3.69	0.282	152	0	116	87	1980	146500
Cleveland	1	1994	43368	90.42823	2616.94	74	4.91	0.249	192	0	52	113	1981	196500
Chicago White Sox	1	1991	44321	65.53509	1676.911	81	4.57	0.268	217	0	75	97	1982	245000
Toronto	1	1989	50516	66.69768	1637.9	78	4.81	0.261	187	1	71	107	1983	289000	207500
Minnesota	1	1982	48678	53.66626	1924.473	94	4.12	0.272	167	1	79	74	1984	325900	229750
Tampa Bay	1	1990	44027	43.98382	1065.742	55	5.29	0.253	133	1	102	126	1985	368998	265833
Texas	1	1994	52000	130.6223	2352.397	72	5.16	0.269	230	0	61	99	1986	410517	275000
Detroit	1	2000	40000	75.324	1503.623	55	4.93	0.248	124	0	65	142	1987	402579	235000
Seattle	1	1999	45611	100.0446	3542.938	93	4.07	0.275	152	0	137	88	1988	430688	235000
Kansas City	1	1973	40529	58.70812	1323.036	62	5.22	0.256	140	0	139	130	1989	489539	280000
Atlanta	0	1993	50062	110.7698	2603.484	101	3.13	0.26	164	0	76	114	1990	589483	350000
Arizona	0	1998	49075	114.3244	3198.977	98	3.93	0.267	165	0	92	89	1991	845383	412000
Houston	0	2000	42000	82.11837	2517.357	84	4	0.262	167	0	71	83	1992	1012424	392500
Cincinnati	0	1970	52953	62.39773	1855.787	78	4.29	0.253	169	0	116	120	1993	1062780	371500
New York Mets	0	1964	55775	109.9165	2804.838	75	3.91	0.256	160	0	87	144	1994	1154486	450000
Pittsburgh	0	2001	38127	63.70139	1784.988	72	4.24	0.244	142	0	86	115	1995	1094440	275000
Los Angeles	0	1962	56000	120.0092	3131.255	92	3.69	0.264	155	0	96	90	1996	1101455	300000
San Diego	0	1967	53166	65.67744	2220.601	66	4.65	0.253	136	0	71	128	1997	1314420	400000
Montreal	0	1976	46500	43.54906	812.045	83	3.98	0.261	162	1	116	139	1998	1384530	427500
San Francisco	0	2000	40800	96.22237	3253.203	95	3.55	0.267	198	0	75	90	1999	1567873	495000
St Louis	0	1966	49625	96.11286	3011.756	97	3.7	0.268	175	0	86	103	2000	1983849	700000
Florida	0	1987	42531	53.10341	813.118	79	4.36	0.261	146	0	177	106	2001	2138896	975000
Philadelphia	0	1971	62411	72.24001	1618.467	80	4.17	0.259	165	1	104	88	2002	2340920	1072000
Milwaukee	0	2001	42400	58.19005	1969.153	56	4.76	0.253	139	0	94	103
Chicago Cubs	0	1914	38957	88.83834	2693.096	67	4.31	0.246	200	0	63	114
Colorado	0	1995	50381	80.03518	2737.838	73	5.21	0.274	152	0	103	112