Statistics Course - Problem Set 3 Assignment Solutions

This document presents solutions to a statistics problem set, analyzing a dataset related to Gotham City officers. The assignment covers various statistical concepts, including descriptive statistics (measures of central tendency and dispersion), hypothesis testing (t-tests, ANOVA, and Pearson correlation), and data analysis. The solutions address questions about officer characteristics, the representativeness of data, the relationship between race and cynicism, the impact of race and cynicism on arrest productivity, and changes in arrest productivity before and after a program. Each question is approached using a six-step hypothesis testing framework, ensuring a structured and comprehensive analysis. The solutions provide detailed calculations, interpretations, and conclusions based on the statistical tests performed, offering a thorough understanding of the data and the statistical methods employed. The document aims to assist students in grasping the concepts of statistics and their application in real-world scenarios.