Refer to the Baseball 2019 data, which report information on the 30 Major League Baseball teams for the 2019 season. Assume the 2019 data represent 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. Develop a 95% confidence interval for the mean earned run average (ERA) for each team.

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Q15 <> A Team 1 2 Arizona Diamondbacks 3 Atlanta Braves 4 Baltimore Orioles 5 Boston Red Sox 6 Chicago Cubs 7 Chicago White Sox 8 Cincinnati Reds 9 Cleveland Indians 10 Colorado Rockies 11 Detroit Tigers 12 Houston Astros 13 Kansas City Royals 14 Los Angeles Angels 15 Los Angeles Dodgers 16 Miami Marlins 17 Milwaukee Brewers 18 Minnesota Twins 19 New York Mets 20 New York Yankees 21 Oakland Athletics 22 Philadelphia Phillies 23 Pittsburgh Pirates 24 San Diego Padres 25 San Francisco Giants 26 Seattle Mariners 27 St. Louis Cardinals 28 Tampa Bay Rays 29 Texas Rangers 30 Toronto Blue Jays 31 Washington Nationals 32 33 fx B League National National American American National American National American National American American American American National National National American National American American National National National National American National American American American National C Year Opened 1998 2017 1992 1912 1914 1991 2003 1994 1995 2000 2000 1973 1966 1962 2012 2001 2010 2009 2009 1966 2004 2001 2004 2000 1999 2006 1990 1994 1989 2008 D Team Salary 96.78 89.55 61.12 187.23 194.08 83.76 106.44 88.71 125.19 97.99 147.62 67.94 132.18 99.80 69.57 108.40 101.06 91.58 118.83 84.35 131.15 54.58 63.07 157.27 116.38 125.37 49.08 104.35 54.57 154.18 E Attendance 2,135,510 F Wins 85 2,655,100 97 1,307,807 54 2,924,627 84 3,094,865 84 1,649,775 72 1,808,685 75 1,738,642 93 2,993,244 71 1,501,430 47 2,857,367 107 1,479,659 59 3,019,012 72 3,974,309 106 811,302 57 2,923,333 89 2,294,152 101 2,442,532 86 3,304,404 103 1,662,211 97 2,727,421 81 1,491,439 69 2,396,399 70 68 2,707,760 77 1,791,863 3,480,393 91 1,178,735 96 2,132,994 78 1,750,144 67 2,259,781 93 G ERA 4.25 4.19 5.59 4.70 4.10 4.90 4.18 3.76 5.56 5.24 3.66 5.20 5.12 3.37 4.74 4.40 4.18 4.24 4.31 3.97 4.53 5.18 4.60 4.38 4.99 3.80 3.65 5.06 4.79 4.27 H BA 0.252 0.258 0.246 0.269 0.252 0.261 0.244 0.250 0.265 0.240 0.274 0.247 0.247 0.257 0.241 0.246 0.270 0.257 0.267 0.249 0.246 0.265 0.238 0.239 0.237 0.245 0.254 0.248 0.236 0.265 1 HR 220 249 213 245 256 182 227 223 224 149 288 162 220 279 146 250 307 242 306 257 215 163 219 167 239 210 217 223 247 231 J Net Worth 1.29 1.70 1.28 3.20 3.10 1.60 1.05 1.15 1.23 1.25 1.78 1.03 1.90 3.30 1.00 1.18 1.20 2.30 5.60 1.10 1.85 1.28 1.35 3.00 1.58 2.10 1.01 1.65 1.50 1.75 K