Consider the following hypothesis test: H0 : µ ≤ 50; Ha : µ > 50. Given a sample size of 30, it is determined that ¯x = 56. It is known that σ = 8. Let α = .05 (d) Do you reject H0 based on the evidence from the sample? What decision rule did you apply for your conclusion?  (e) Now suppose that σ is unknown. What distribution will now be relevant for statistical inference? Repeats parts (b), (c), and (d) when s = 10.

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