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Using the McGraw-Hill Dataset in the Excel file, located here, complete the following tasks:

Task#1: Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team. Next, divide this value by 162 (a season comprises 162 games); then multiply by 2 because there are two teams in each game. Use the Poisson distribution to estimate the number of home runs that will be hit in a game. Find the probability:

1) There are no home runs in a game.

2) There are two home runs in a game.

3) There are at least 4 home runs in a game.

Task #2

1) The mean attendance per team for the season was 2.439 million, with a standard deviation of 0.618 million. Use the normal distribution to estimate the number of teams with attendance of more than 3.5 million. Compare that estimate with the actual number. Comment on the accuracy of your estimate.

2) The mean team salary was $121 million, with a standard deviation of $40.0 million. Use the normal distribution to estimate the number of teams with a team salary of more than $100 million. Compare that estimate with the actual number. Comment on the accuracy of your estimate.

Real Estate 17e

Team League Year Opened Team Salary Attendance Wins ERA BA HR Year Average Salary (millions) PART I TASKS: Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team. Next, divide this value by 162 (a season comprises 162 games); then multiply by 2 because there are two teams in each game. Use the Poisson distribution to estimate the number of home runs that will be hit in a game. Find the probability:
Arizona National 1998 70.76 2036216 69 5.09 0.261 190 2000 1.99 3 points
Atlanta National 1996 87.62 2020914 68 4.51 0.255 122 2001 2.26
Baltimore American 1992 115.59 2172344 89 4.22 0.256 253 2002 2.38
Boston American 1912 182.16 2955434 93 4.00 0.282 208 2003 2.56
Chicago Cubs National 1914 116.65 3232420 103 3.15 0.256 199 2004 2.49
Chicago Sox American 1991 98.71 1746293 78 4.10 0.257 168 2005 2.63 1) There are no home runs in a game. 7 points
Cincinnati National 2003 116.73 1894085 68 4.91 0.256 164 2006 2.87 2) There are two home runs in a game. 7 points
Cleveland American 1994 86.34 1591667 94 3.84 0.262 185 2007 2.94 3) There are at least 4 home runs in a game. 7 points
Colorado National 1995 98.26 2602524 75 4.91 0.275 204 2008 3.15
Detroit American 2000 172.28 2493859 86 4.24 0.267 211 2009 3.24
Houston American 2000 69.06 2306623 84 4.06 0.247 198 2010 3.30 PART II TASKS: 1) The mean attendance per team for the season was 2.439 million, with a standard deviation of 0.618 million. Use the normal distribution to estimate the number of teams with attendance of more than 3.5 million. Compare that estimate with the actual number. Comment on the accuracy of your estimate.
Kansas City American 1973 112.91 2557712 81 4.21 0.261 147 2011 3.31 8 points
LA Angels American 1966 146.45 3016142 74 4.28 0.26 156 2012 3.44
LA Dodgers National 1962 223.35 3703312 91 3.70 0.249 189 2013 3.65
Miami National 2012 84.64 1712417 79 4.05 0.263 128 2014 3.95
Milwaukee National 2001 98.68 2314614 73 4.08 0.244 194 2015 4.25 2) The mean team salary was $121 million, with a standard deviation of $40.0 million. Use the normal distribution to estimate the number of teams with a team salary of more than $100 million. Compare that estimate with the actual number. Comment on the accuracy of your estimate.
Minnesota American 2010 108.26 1963912 59 5.08 0.251 200 2016 4.40 8 points
NY Mets National 2009 99.63 2789602 87 3.58 0.246 218
NY Yankees American 2009 213.47 3063405 84 4.16 0.252 183
Oakland American 1966 80.28 1521506 69 4.51 0.246 169
Philadelphia National 2004 133.05 1915144 71 4.63 0.24 161
Pittsburgh National 2001 85.89 2249021 78 4.21 0.257 153
San Diego National 2004 126.37 2351426 68 4.43 0.235 177
San Francisco National 2000 166.50 3365256 87 3.65 0.258 130
Seattle American 1999 122.71 2267928 86 4.00 0.259 223
St. Louis National 2006 120.30 3444490 86 4.08 0.255 225
Tampa Bay American 1990 73.65 1286163 68 4.20 0.243 216
Texas American 1994 144.31 2710402 95 4.37 0.262 215
Toronto American 1989 112.90 3392299 89 3.78 0.248 221
Washington National 2008 166.01 2481938 95 3.51 0.256 203

FICO Residual Plot

FICO

Type code Residual Plot

Type code

Normal Probability Plot

Sample Percentile

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