Statistical Analysis: SAT Scores, Insurance Claims, and Salary Data

This assignment presents solutions to several statistical problems. The first problem involves analyzing SAT scores, calculating mean, median, percentiles, and probabilities for different schools, and commenting on statistical independence. The second problem focuses on insurance claims, calculating expected claim payments, probabilities, and confidence intervals. The third problem involves hypothesis testing for administrator salaries and sample size calculations. The fourth problem discusses potential errors in a survey, and the fifth and sixth problems deal with regression analysis, examining the relationship between variables like advertising spend and revenue, and filter strands and purity, respectively, including the interpretation of coefficients, residual plots, and the impact of various terms. The solutions demonstrate statistical techniques and their application to real-world scenarios.