1. A nylon rope maker claims its repelling rope's average breaking strength is at least 800 pounds.  A researcher sets up a hypothesis test regarding the breaking strength of the rope where Ho: μ ≤500

1. A nylon rope maker claims its repelling rope's average breaking strength is at least 800 pounds.  A researcher sets up a hypothesis test regarding the breaking strength of the rope where Ho: μ ≤500.  where α = .01.  

a. Rewrite his null and alternative hypotheses as complete sentences. What does the hypothesis suggest about where the benefit of the doubt is being placed?  Explain your answer.  

b.  What does it mean to make a type I error, and, specifically, what would constitute a type one error in this case?

c. In this case, is it appropriate to use  α = .01?  Explain why or why not.

d. what would we conclude if the sample average was much larger than 500 pounds?

e. what would we conclude if the sample average was slightly less than 500 pounds?

f. what if the sample average is much less than 500?