Assignment:
Runout obtained for 38 gears laid and 39 gears hung after heat treating. Mean laid runout=12.6, Mean hung runout=17.9
Gears laid- 5,8,8,9,9,9,9,10,10,10,11,11,11,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,15,15,15,15,16,17,17,18,19,27
Gears hung- 7,8,8,10,10,10,10,11,11,11,12,13,13,13,15,17,17,17,17, 18,19,19,20,21,21,21,22,22,22,23,23,23,23,24,27,27,28, 31,36
Use the stepwise significance testing format to assess the strength of the evidence collected in this study to the effect that laying method is different to the hanging method in terms of mean runouts produced.
(a) Under large sample assumption
(b) Under small sample assumption and the two underlying variances are the same.
Provide complete and step by step solution for the question and show calculations and use formulas.