Mathematics Homework Help

I need RMD and html both

• Suppose you want to tes-t the following hypotheses:

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Ho: µ = 30,000

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Ha: µ not equal to 30,000

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Use 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.