In an Experiment to Compare the Bond Strength of Two $\mu _ { i }$

Essay

In an experiment to compare the bond strength of two different adhesives, each adhesive was used in five bondings of two surfaces, and the force necessary to separate the surfaces was determined for each bonding. For adhesive 1, the resulting values were 240, 297, 256, 310, and 261, whereas the adhesive 2 observations were 224, 190, 174, 258, and 236. Let $\mu _ { i }$ denote the true average bond strength of adhesive type i. Use the Wilcoxon rank-sum test at level .05 to test $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } \text { versus } H _ { \pm } : \mu _ { 1 } > \mu _ { 2 } \text {. }$