University Statistics Course: Tutor-Marked Exercise 1 Theory Section

This document presents solutions to the Theory section of Tutor-Marked Exercise 1 in a Statistics course. The assignment covers various non-parametric statistical tests, including the Wilcoxon rank sum test, the Wilcoxon signed-rank test, and the Kruskal-Wallis test. Solutions are provided for hypothesis testing problems, including identifying null and alternative hypotheses, calculating test statistics, determining p-values, and making conclusions based on significance levels. The document also includes solutions for Spearman's rank correlation and interpretations of results. The solutions demonstrate the application of these statistical methods to real-world scenarios and provides detailed explanations for each step of the analysis.