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

Multiple Choice

Find the critical valuevalue, $t _ { 0 }$ 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 $$\sigma { } _ { 1 } ^ { 2 } = \sigma _ { 2 } ^{ 2 } \text {. Use } \alpha = 0.05$$ $$\begin{array} { l } \mathrm { n } _ { 1 } = 15 \\\overline { \mathrm { x } } _ { 1 } = 22.2 \\\mathrm {~s} _ { 1 } = 2.9\end{array}$$ $$\begin{array} { l } \mathrm { n } _ { 2 } = 15 \\\overline { \mathrm { x } _ { 2 } } = 24.75 \\\mathrm {~s} _ { 2 } = 2.8\end{array}$$

A) -1.701
B) 2.467
C) -1.313
D) 0.683