The needed length of a certain component that goes into assembly is 175mm. Historical data shows that the lengths of the component are normally distributed and has a standard deviation of 20mm. If you wish to conduct hypothesis testing with Null Hypothesis:Mu<=175; then answer the following questions assuming sample size n=10.
A. What is the Type 1 error probability if rejection region is x>=185mm?
B. What is the Type 2 error if the true mean length is 184mm?