1. Introduction: Problem Statement

Discuss the statement of the problem in terms of the statistical analyses that are being performed.

• What is the problem you are going to solve?
• What data set are you using?
• What statistical methods will you be using to do the analysis for this project?

1. Introduction: Your Team and the Assigned Team

In this project, you picked a team and you were assigned a team to do comparative analysis.

See Steps 1 and 2 in the Python script to address the following items:

• What team did you pick and what years were picked to do the analysis?
• What team and range of years were you assigned for the comparative study? (Hint: This is called the assigned team in the Python script.) Present this information in a formatted table as shown below.

Table 1. Information on the Teams

	Name of Team	Assigned Years
1. Yours	New York Knicks	2013-2015
2. Assigned	Chicago Bulls	2013-2015

1. Data Visualization: Points Scored by Your Team

In the Python script, you created a visualization for the distribution of points scored by your team.

See Step 3 in the Python script to address the following items in a paragraph response:

• In general, how is data visualization used to study data distributions and trends?
• In this activity, you were asked to pick one of the two plots that best describes the data distribution of the variable for your team. Include a screenshot of this plot in your report.
• Why did you pick this plot? Explain.
• What can you say about the distribution of the variable by visually inspecting this plot? What does this signify?

1. Data Visualization: Points Scored by the Assigned Team

In the Python script, you created a visualization for the distribution of points scored by the assigned team.

See Step 4 in the Python script to address the following items in a paragraph response:

• In this activity, you were asked to pick one of the two plots that best describes the data distribution of the variable for the assigned team. Include this plot in your report.
• Why did you pick this plot? Explain.
• What can you say about the distribution of the variable by visually inspecting this plot? What does this signify?

1. Data Visualization: Comparing the Two Teams

In the Python script, you created a visualization for the difference in the distributions of points scored by your team and the assigned team.

See Step 5 in the Python script to address the following items in a paragraph response:

• In general, how is data visualization used to compare two different data distributions?
• In this activity, you were asked to pick one of the two plots that best compares the data distributions of your team with the assigned team. Include a screenshot of this plot in your report.
• Why did you pick this plot? Explain.
• How do the two distributions compare to each other?

1. Descriptive Statistics: Points Scored By Your Team in Home Games

In the Python script, you calculated descriptive statistics on the points scored by your team in games played at home venue. These included the mean, median, variance, and standard deviation for the relative skill of your team.

See Step 6 in the Python script to address the following items:

• Summarize all statistics in a formatted table as shown below. Use one row for each statistic. You will need to add rows to the table in order to include all of your statistics.

Table 2. Descriptive Statistics for Points Scored by Your Team in Home Games

Statistic Name	Value
Statistic (for example, Mean)	X.XX *Round off to 2 decimal places.

• In general, how are the measures of central tendency and variability used to analyze a data distribution?
• Interpret each statistic in detail and explain what it represents in this scenario.
• Use the mean and the median to describe the distribution of points scored by your team in home games.
  • Describe the skew: Is it left, right, or bell-shaped?
  • Explain which measure of central tendency is best to use to represent the center of the distribution based on its skew.

1. Descriptive Statistics: Points Scored By Your Team in Away Games

In the Python script, you calculated descriptive statistics on the points scored by your team in games played at opponent's venue (away). These included the mean, median, variance, and standard deviation for the relative skill of the assigned team.

See Step 7 in the Python script to address the following items:

• Summarize allstatistics in a formatted table as shown below. Use one row for each statistic. You will need to add rows to the table in order to include all of your statistics.

Table 3. Descriptive Statistics for Points Scored by Your Team in Away Games

Statistic Name	Value
Statistic (for example, Mean)	X.XX *Round off to 2 decimal places.

• Interpret each statistic in detail and explain what it represents in this scenario.
• Use the mean and the median to describe the distribution of points scored by your team in away games.
  1. Describe the skew: Is it left, right, or bell-shaped?
  2. Explain which measure of central tendency is best to use to represent the center of the distribution based on its skew.
• Is your team performing better in games played at home than those played away? Use the mean and the standard deviation to answer this question. What can be deduced by comparing the standard deviation of points scored in home games and points scored in away games?

1. Confidence Intervals for the Average Relative Skill of All Teams in Your Team's Years

In the Python script, you calculated a 95% confidence interval for the average relative skill of all teams in the league during the years of your team. Additionally, you calculated the probability that a given team in the league has a relative skill level less than that of the team that you picked.

See Step 8 in the Python script to address the following items:

• Report the confidence interval in a formatted table as shown below.

Table 4. Confidence Interval for Average Relative Skill of Teams in Your Team's Years

Confidence Level (%)	Confidence Interval
XX% (for example, 95%)	(X.XX, X.XX) *Round off to 2 decimal places.

• Describe how confidence intervals are generally used in estimating the measures of central tendency for a population.
• Provide a detailed interpretation of the confidence interval in terms of the average relative skill of teams in the range of years that you picked.
• How would your interval be different if you had used a different confidence level?
• What is the probability that a given team in the league has a relative skill level less than that of the team that you picked? Is it unusual that a team has a skill level less than your team?

1. Confidence Intervals for the Average Relative Skill of All Teams in the Assigned Team's Years

In the Python script, you calculated a 95% confidence interval for the average relative skill of all teams in the league during the years of the assigned team. Additionally, you calculated the probability that a given team in the league has a relative skill level less than that of the assigned team.

See Step 9 in the Python script to address the following items:

• Report the confidence interval in a formatted table as shown below.

Table 5. Confidence Interval for Average Relative Skill of Teams in Assigned Team's Years

Confidence Level (%)	Confidence Interval
XX% (for example, 95%)	(X.XX, X.XX) *Round off to 2 decimal places.

• Provide a detailed interpretation of the confidence interval in terms of the average relative skill of teams in the assigned team's range of years.
• Discuss how your interval would be different if you had used a different confidence level.
• How does this confidence interval compare with the previous one? What does this signify in terms of the average relative skill of teams in the range of years that you picked versus the average relative skill of teams in the assigned team's range of years?

1. Conclusion

Describe the results of your statistical analyses clearly, using proper descriptions of statistical terms and concepts.

• What is the practical importance of the analyses that were performed?
• Describe what these results mean for the scenario.

1. Citations

Insert references here in the following format:

Author's Last Name, First Initial. Middle Initial. (Year of Publication). Title of book: Subtitle of book, edition. Place of Publication: Publisher.