The amount of shaft wear (.0001 in.) after a fixed mileage was determined for each of n = 8 internal combustion engines having a copper lead as a bearing material, resulting in and s = 1.25. Assuming that the distribution of shaft wear is normal with mean μ, use the appropriate test at level .05 to test H0 : μ = 3.50 versus Hα : μ “>> 3.50. Please state any assumption you have made if necessary.
Shaft wear in excess of 3.50 could lead to catastrophic failures in extreme weather conditions. Engineers for the manufacturer of the shafts claim that the shaft wear is within acceptable limits. Lawyers representing a class action legal suit filed against the company feel that recent deaths due to catastrophic vehicle failures for engines with this shaft are due to faulty bearings.
Document: This document should present as a memorandum to the court in the case Tolford v. The Automotive Shaft Company. The primary addressee is the Judge – The Honorable Farah Hadi.