The uploaded file contains a series of mathematical and statistical problems across various topics, including hypothesis testing, probability, regression analysis, moments, and correlation.

Would you like to start solving them systematically (e.g., from question 1 onward), or do you have specific questions in mind that you want to prioritize? Alternatively, I can provide a summary or solution to all questions.

Let me know how you'd like to proceed!

Here are five possible steps we could follow based on your needs:

1. Solve all questions step by step.
2. Focus on specific questions you are interested in.
3. Highlight solutions to questions involving statistical tests (e.g., Q1, Q3, Q9).
4. Provide solutions for probability-based problems (e.g., Q2, Q15, Q17).
5. Address questions related to regression and correlation (e.g., Q4, Q10, Q19).

Tip:

When solving statistical problems, keep formulas and critical values handy for reference.