Suppose You Want to Test the Claim That $\mu _ { 1 } > \mu _ { 2 } .$

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } > \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma { } _ { 1 } ^ { 2 } \neq \sigma_ { 2 } ^{ 2 }$ At a
Level of significance of α $\alpha$ = 0.01, when should you reject H₀? $$\begin{array} { l l } \mathrm { n } _ { 1 } = 18 & \mathrm { n } _ { 2 } = 13 \\\overline { \mathrm { x } }_ 1 = 595 & \overline { \mathrm { x } }_ 2 = 580 \\\mathrm {~s} 1 = 40 & \mathrm {~s} 2 = 25\end{array}$$

A) Reject H₀ if the standardized test statistic is greater than 2.681.
B) Reject H₀ if the standardized test statistic is greater than 1.699.
C) Reject H₀ if the standardized test statistic is greater than 2.179.
D) Reject H₀ if the standardized test statistic is greater than 3.055.