This statistics assignment provides solutions to several problems related to statistical inference. The assignment covers the calculation and interpretation of confidence intervals, including determining the appropriate distribution (t-distribution) and calculating confidence intervals for the mean. It also addresses hypothesis testing, including setting up null and alternative hypotheses, determining the test statistic (z-score or t-score), and making decisions based on the p-value. Specific problems include testing the effectiveness of a program, determining the required sample size, and performing a two-sample t-test. Finally, the assignment includes a one-sample proportion test, calculating the test statistic, and drawing conclusions based on the critical value and p-value. The assignment includes a variety of statistical concepts and applications, demonstrating the use of different statistical methods.