Choose three variables from three different data sets, and calculate and interpr

Question

Choose three variables from three different data sets, and calculate and interpret the 95% confidence interval. Be sure and identify the variable each time.

Team League Opened Age Seating Capacity Salary 2012 Wins Attendance BA ERA HR Errors SB San Diego Padres 0 2004 10 42691 55.2 76 2.12 0.247 4.01 121 121 155 Houston Astros 0 2000 14 40981 60.7 55 1.61 0.236 4.56 146 118 105 Pittsburgh Pirates 0 2001 13 38362 63.4 79 2.09 0.243 3.86 170 112 73 Arizona Diamondbacks 0 1998 16 48633 74.3 81 2.18 0.259 3.93 165 90 93 Colorado Rockies 0 1995 19 50398 78.1 64 2.63 0.274 5.22 166 122 100 Washington Nationals 0 2008 6 41487 81.3 98 2.37 0.261 3.33 194 94 105 Cincinnati Reds 0 2003 11 42319 82.2 97 2.35 0.251 3.34 172 89 87 Atlanta Braves 0 1996 18 49586 83.3 94 2.42 0.247 3.42 149 86 101 Chicago Cubs 0 1914 100 41009 88.2 61 2.88 0.24 4.51 137 105 94 New York Mets 0 2009 5 41922 93.4 95 2.24 0.249 4.09 139 101 79 Los Angeles Dodgers 0 1962 52 56000 95.1 86 3.32 0.252 3.34 116 98 104 Milwaukee Brewers 0 2001 13 41900 97.7 83 2.83 0.259 4.22 202 99 158 St. Louis Cardinals 0 2006 8 43975 110.3 88 3.26 0.271 3.71 159 107 91 San Francisco Giants 0 2000 14 41915 117.6 94 3.38 0.269 3.68 103 115 118 Miami Marlins 0 2012 2 36742 118.1 69 2.22 0.244 4.09 137 103 149 Philadelphia Phillies 0 2004 10 43651 174.5 81 3.57 0.255 3.83 158 101 116 Oakland Athletics 1 1966 48 35067 55.4 94 1.68 0.238 3.48 195 111 122 Kansas City Royals 1 1973 41 37903 60.9 72 1.74 0.265 4.3 131 113 132 Tampa Bay Rays 1 1990 24 34078 64.2 90 1.56 0.24 3.19 175 114 134 Toronto Blue Jays 1 1989 25 49260 75.5 73 2.1 0.245 4.64 198 101 123 Cleveland Indians 1 1994 20 43429 78.4 68 1.6 0.251 4.78 136 96 110 Baltimore Orioles 1 1992 22 45971 81.4 93 2.1 0.247 3.9 214 106 58 Seattle Mariners 1 1999 15 47860 82 75 1.72 0.234 3.76 149 72 104 Minnesota Twins 1 2010 4 39504 94.1 66 2.78 0.26 4.77 131 107 135 Chicago White Sox 1 1991 23 40615 96.9 85 1.97 0.255 4.02 211 70 109 Texas Rangers 1 1994 20 48194 120.5 93 3.46 0.273 3.99 200 85 91 Detroit Tigers 1 2000 14 41255 132.3 88 3.03 0.268 3.75 163 99 59 Los Angeles Angels 1 1966 48 45957 154.5 89 3.06 0.274 4.02 187 98 134 Boston Red Sox 1 1912 102 37495 173.2 69 3.04 0.26 4.7 165 101 97 New York Yankees 1 2009 5 50287 198 74 3.54 0.265 3.85 245 74 93

Explanation / Answer

Answer:

Choose three variables from three different data sets, and calculate and interpret the 95% confidence interval. Be sure and identify the variable each time.

Variable: Age

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation

24.6478

Sample Mean

24.0667

Sample Size

30

Confidence Level

95%

Intermediate Calculations

Standard Error of the Mean

4.500046828

Degrees of Freedom

29

t Value

2.0452

Interval Half Width

9.2036

Confidence Interval

Interval Lower Limit

14.8630

Interval Upper Limit

33.2703

We are 95% confident that population mean age will fall in the interval (14.8630, 33.2703).

Variable: Salary 2012

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation

36.8323

Sample Mean

98.0233

Sample Size

30

Confidence Level

95%

Intermediate Calculations

Standard Error of the Mean

6.724635927

Degrees of Freedom

29

t Value

2.0452

Interval Half Width

13.7534

Confidence Interval

Interval Lower Limit

84.2699

Interval Upper Limit

111.7768

We are 95% confident that population mean salary 2012 will fall in the interval (84.2699, 111.7768).

Variable: Attendance

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation

0.642144843

Sample Mean

2.495

Sample Size

30

Confidence Level

95%

Intermediate Calculations

Standard Error of the Mean

0.117239072

Degrees of Freedom

29

t Value

2.0452

Interval Half Width

0.2398

Confidence Interval

Interval Lower Limit

2.2552

Interval Upper Limit

2.7348

We are 95% confident that population mean attendance will fall in the interval (2.2552, 2.7348).

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation

24.6478

Sample Mean

24.0667

Sample Size

30

Confidence Level

95%

Intermediate Calculations

Standard Error of the Mean

4.500046828

Degrees of Freedom

29

t Value

2.0452

Interval Half Width

9.2036

Confidence Interval

Interval Lower Limit

14.8630

Interval Upper Limit

33.2703

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