Help with 1-6

A researcher is planning the following hypothesis test. Ho: u = 200 Ha: u =

A researcher 'is planning the following hypothesis test. Ho: = 200 Haul = < 200 From past studies they know that 50, and plan on using a sample of size 64 and a = 0.01 1) 2) 3) 4) 5) 6) Describe the sampling distribution for numerically and sketch it too What is the cut off for rejecting the null hypothesis Suppose the true value of = 190. Describe the sampling distribution for numerically and sketch it too If the researcher does their hypothesis test, what is the power? If they got more funding a-nd had a sample size of 200 would the power go up or down (you don't need to compute anything just justify your answer) If it turns out that they made a mistake copying down and it should have been 10 (not 50) would the power go up or down (you don't need to compute anything, but must justify your answer)