Refer To The Baseball 2012 Data Which Reports Information

Refer To The Baseball 2012 Data Which Reports Informatio

Refer to the Baseball 2012 data, which reports information on the 30 Major League Baseball teams for the 2012 season. Set up three variables:

• Divide the teams into two groups, those that had a winning season and those that did not. That is, create a variable to count the teams that won 81 games or more, and those that won 80 or less.
• Create a new variable for attendance, using three categories: attendance less than 2.0 million, attendance of 2.0 million up to 3.0 million, and attendance of 3.0 million or more.
• Create a variable that shows the teams that play in a stadium less than 15 years old versus one that is 15 years old or more.

Answer the following questions.

Paper For Above instruction

The 2012 Major League Baseball (MLB) season provided comprehensive data on team performances, attendance figures, and stadium characteristics. Analyzing this data can reveal insights into factors influencing team success and fan engagement. The analysis involves categorizing teams into groups based on winning records, attendance levels, and stadium age, then exploring the relationships among these variables.

1. Classification of Teams by Performance and Attendance

First, teams are divided based on their winning seasons, where a team with 81 or more wins is considered to have a winning season, and those with 80 or fewer wins are classified as having a losing season. Attendance figures are categorized into three groups: less than 2.0 million fans, between 2.0 million and 3.0 million fans, and 3.0 million or more fans. Additionally, stadium age is dichotomized into less than 15 years old versus 15 years or older.

By constructing a contingency table, we can explore the distribution of teams with winning vs. losing records across different attendance categories. For example, the table might reveal a higher proportion of winning teams in the groups with higher attendance, suggesting a positive correlation between fan engagement and team success. Similarly, analysis can consider how stadium age correlates with team performance, postulating that newer stadiums might attract more fans and possibly contribute to better team outcomes.

2. Probabilistic Analyses

Based on the contingency tables, several probabilities are computed:

• The probability that a randomly selected team had a winning season.
• The probability that a team either had a winning season or attracted more than 3.0 million fans.
• The probability that a team had a winning season given that attendance was over 3.0 million fans.
• The probability that a team had a winning season and attracted fewer than 2.0 million fans.

This probabilistic analysis aims to quantify the relationship between team success and fan engagement, providing insights into whether larger audiences are associated with winning records.

3. Teams by Stadium Age and Performance

Further, teams are segmented based on stadium age, with a focus on comparing teams in stadiums less than 15 years old versus those in older venues. A contingency table illustrates how many teams achieve winning records within each stadium age category. Calculations include:

• The probability of randomly selecting a team with a winning season.
• The probability of selecting a team that has a winning record and plays in a new stadium (less than 15 years).
• The probability that a team either has a winning record or plays in a new stadium.

These insights may highlight whether investment in new stadium infrastructure correlates with team success, supporting the hypothesis that newer stadiums could enhance team performance through improved facilities and fan experience.

Overall, analyzing the 2012 MLB data through these categorical and probabilistic lenses offers valuable understanding of the dynamics between stadium characteristics, fan attendance, and team success, informing strategic decisions for teams, stadium management, and marketing efforts.

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