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 $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ At a
Level of significance of α $\alpha = 0.05$ when should you reject H₀? $$\begin{array} { l l } \mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 12 \\\overline { \mathrm { x } } _ { 1 } = 21 & \overline { \mathrm { x } _ { 2 }} = 22 \\\mathrm {~s} _ { 1 } = 2.5 & \mathrm {~s} _ { 2 } = 2.8\end{array}$$

A) Reject H₀ if the standardized test statistic is less than -2.064 or greater than 2.064.
B) Reject H₀ if the standardized test statistic is less than -2.492 or greater than 2.492
C) Reject H₀ if the standardized test statistic is less than -1.711 or greater than 1.711.
D) Reject H₀ if the standardized test statistic is less than -1.318 or greater than 1.318.