A Paired Difference Experiment Produced the Following Results $$n _ { d } = 40 , \bar { x } _ { 1 } = 18.4 , \bar { x } _ { 2 } = 19.7 , \bar { d } = - 1.3 , s _ { d } ^ { 2 } = 5$$

Essay

A paired difference experiment produced the following results. $$n _ { d } = 40 , \bar { x } _ { 1 } = 18.4 , \bar { x } _ { 2 } = 19.7 , \bar { d } = - 1.3 , s _ { d } ^ { 2 } = 5$$
Perform the appropriate test to determine whether there is sufficient evidence to conclude that $\mu 1 < \mu 2$ using $\alpha = .10$ .