Problem 2: Evaluating the Effectiveness of a New Teaching Method Context: An educational researcher is investigating the effectiveness of a new teaching method on student performance in mathematics compared to the traditional method. Data Collection: Two groups of students are studied over a semester: ⚫ Group A: 50 students taught using the traditional teaching method. • Group B: 50 students taught using the new teaching method. At the end of the semester, all students take the same standardized mathematics test. Additionally, data on the number of hours studied per week and attendance rates are recorded. Tasks: 1. Data Visualization: • Construct histograms for the test scores of both Group A and Group B. • Create a combined histogram to compare the distribution of test scores between the two groups. Develop a scatter plot showing the relationship between hours studied per week and test scores for all students. 2. Statistical Analysis: ⚫ Calculate descriptive statistics (mean, median, mode, standard deviation) for test scores in both groups. • Conduct an independent t-test to determine if there is a statistically significant difference in mean test scores between the two groups. • Analyze the correlation between attendance rates and test scores. 3. Advanced Visualization: Create a box-and-whisker plot to compare the variability of test scores between the two teaching methods. • Develop a multi-line graph showing average test scores over time for both groups if multiple assessments are conducted throughout the semester. 4. Interpretation: • Interpret the histograms and statistical results to evaluate the effectiveness of the new teaching method.