In: Mechanical Engineering
The critical dimension on a machined hole must be 0.5025 in. The machining process can reliably create holes with a known standard deviation of 0.005 in. A random sample of 15 holes has an average diameter of 0.5062 in.
(a) With 97.5% confidence can you conclude that the mean hole diameter is larger than 0.5025 in?
(b) At what confidence level would you change your conclusion? What is the term for the alpha value that is associated with that value?