Let $\mu _ { 1 }$ Denote True Average Tread Life for a Premium Brand of Life

Essay

Let $\mu _ { 1 }$ denote true average tread life for a premium brand of radial tire and let $\mu _ { 2 }$ denote the true average tread life for an economy brand of the same size. Test $H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 5000$ versus $H _ { a } : \mu _ { 1 } - \mu _ { 2 } > 5000$ at level .01 using the following statistics: $m = 50 , \bar { x } = 43,000 , s _ { 1 } = 2200$ $n = 50 , \bar { y } = 37,000 , \text { and } s _ { 2 } = 1500$