Refer to the Baseball 2021 data, which report information on the 30 Major League Baseball teams for the 2021 season. Assume the 2021 data represents a sample.
a. Develop a 95% confidence interval for the mean number of home runs per team.
b. Develop a 95% confidence interval for the mean batting average by each team.
c. Develop a 95% confidence interval for the mean earned run average (ERA) for each team.

 

Team	League	Year Opened	Team Salary	Attendance	Wins	ERA	BA	HR	Net worth ($billion)
Arizona Diamondbacks	National	1998	89.08	1,043,010	52	5.11	0.236	144	$1.320
Atlanta Braves	National	2017	134.46	2,300,247	88	3.88	0.244	239	$1.875
Baltimore Orioles	American	1992	45.70	793,229	52	5.84	0.239	195	$1.430
Boston Red Sox	American	1912	180.26	1,725,323	92	4.26	0.261	219	$3.465
Chicago Cubs	National	1914	149.67	1,978,934	71	4.87	0.237	210	$3.360
Chicago White Sox	American	1991	125.99	1,596,385	93	3.73	0.256	190	$1.685
Cincinnati Reds	National	2003	118.75	1,505,024	83	4.40	0.249	222	$1.085
Cleveland Indians	American	1994	46.83	1,114,368	80	4.34	0.238	203	$1.160
Colorado Rockies	National	1995	103.99	1,938,645	74	4.82	0.249	182	$1.300
Detroit Tigers	American	2000	80.40	1,102,623	77	4.32	0.242	179	$1.260
Houston Astros	American	2000	171.02	2,068,509	95	3.76	0.267	221	$1.870
Kansas City Royals	American	1973	87.78	1,159,613	74	4.65	0.249	163	$1.060
Los Angeles Angels	American	1966	177.35	1,512,033	77	4.69	0.245	190	$2.025
Los Angeles Dodgers	National	1962	235.41	2,804,693	106	3.01	0.244	237	$3.570
Miami Marlins	National	2012	49.43	642,617	67	3.96	0.233	158	$0.990
Milwaukee Brewers	National	2001	87.57	1,824,282	95	3.50	0.233	194	$1.220
Minnesota Twins	American	2010	121.00	1,310,199	73	4.83	0.241	228	$1.325
New York Mets	National	2009	167.42	1,484,665	77	3.90	0.238	176	$2.450
New York Yankees	American	2009	191.21	1,959,854	92	3.74	0.237	222	$5.250
Oakland Athletics	American	1966	74.62	701,430	86	4.02	0.238	199	$1.125
Philadelphia Phillies	National	2004	174.01	1,515,890	82	4.39	0.24	198	$2.050
Pittsburgh Pirates	National	2001	35.91	859,498	61	5.08	0.236	124	$1.285
San Diego Padres	National	2004	171.69	2,191,950	79	4.10	0.242	180	$1.500
San Francisco Giants	American	2000	127.89	1,679,484	107	3.24	0.249	241	$3.175
Seattle Mariners	National	1999	64.55	1,215,985	90	4.30	0.226	199	$1.630
St. Louis Cardinals	National	2006	135.05	2,102,530	90	3.98	0.244	198	$2.245
Tampa Bay Rays	American	1990	60.39	761,072	100	3.67	0.242	222	$1.055
Texas Rangers	American	1994	84.87	2,110,258	60	4.79	0.232	167	$1.785
Toronto Blue Jays	American	1989	137.13	809,557	91	3.91	0.266	262	$1.675
Washington Nationals	National	2008	161.91	1,465,543	65	4.80	0.258	182	$1.925