You uploaded a document containing various mathematical problems across multiple topics such as hypothesis testing, correlation, regression, probability distributions, and more. Let me know which question you'd like to solve first, or specify a topic, and I'll provide a detailed solution.

For example:

• Q1: Test for normal population with same variance.
• Q2: Determine if a die is unbiased and probability limits.
• Q3: Hypothesis test for an unbiased coin.

Please choose a question or topic, and I’ll guide you step by step!