Please answer the questions correctly. The questions and formulas are all in the uploaded file.

I need RMD and html bothSuppose you want to tes-t the following hypotheses: undefinedHo: µ = 30,000undefinedHa: µ not equal to 30,000undefinedUse α=0.05 and α=0.01.(3pts) Define a rejection region for a given α-level. Assume σ=5,000. All derivations must be included in the report. [Note: the sample size is small!](2pts) Construct two Power Curves for various values of β- Type II error rate. These curves must be on the same plot. [Note: you will need to consider various values for the sample mean.] (2pts) Reflect on your findings. How does α-level impact the shape of the power curve? How does power changes with α? How does power changes with β? A minimum 5 full sentences are required for full credit.