Week 14 (21-07-25 to 25-07-25)

Prepare

📖 Read the syllabus

📖 Read the support resources

🖥️Lecture 6 - Association between Two Variables

🖥️ Statistical Table - Statistical Table for probability estimations.

🖥️Lecture 5 - Statistical Inferences II

🖥️Lecture 4 - Statistical Inferences I

🖥️Lecture 3 - Continuous Probability Distributions

🖥️ Lecture 2 - Discrete Probability Distributions

🖥️ Lecture 1 - Introduction to Probability

Investigating Student Engagement in MC3020 Lectures: The MC3020 course coordinator at the University of Jaffna is evaluating two teaching methods to address low student engagement during lectures. Method A employs interactive quizzes, while Method B utilizes group discussions. A random sample of seven students was assigned to Method A, and another seven students were assigned to Method B. The active participation time (minutes per lecture) for each student was recorded as follows:

Method A (Interactive Quizzes): 8, 12, 13, 9, 3, 10, 8

Method B (Group Discussions): 10, 8, 12, 15, 6, 8, 11

Assuming active participation times follow normal distributions in the population and using a 0.05 significance level, address the following:
1. Estimate the population mean difference in engagement time (Method A – Method B).
2. Test whether the population variances of engagement times are equal.
3. Construct a 95% confidence interval for the population mean difference (Method A – Method B).
4. Test whether the two methods differ significantly in their effect on student engagement.
5. Compare your results from Part (c) (confidence interval) and Part (d) (hypothesis test). Explain how these results are consistent or inconsistent with each other in light of the conclusion about mean differences.