Find the Critical Value $t _ { 0 }$ To Test the Claim That

Multiple Choice

Find the critical value, $t _ { 0 }$ to test the claim that $\mu _ { 1 } > \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that $\sigma { } _ { 1 } ^ { 2 } \neq \sigma _ { 2 }^ { 2 }$ Use α = 0.01. $$\begin{array} { l l } \mathrm { n } _ { 1 } = 18 & \mathrm { n } _ { 2 } = 13 \\\overline { \mathrm { x } } 1 = 600 & \overline { \mathrm { x } _ { 2 } } = 585 \\\mathrm {~s} _ { 1 } = 40 & \mathrm {~s} _ { 2 } = 25\end{array}$$

A) 2.681
B) 1.699
C) 2.179
D) 3.055