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 $\sigma _ { 1 } ^ { 2 } = \sigma _{ 2 } ^{ 2 } \text {. }$ At a
Level of significance of α $\alpha = 0.10 \text {, }$ when should you reject H₀? $$\begin{array} { l l } \mathrm { n } _ { 1 } = 15 & \mathrm { n } _ { 2 } = 15 \\\overline { \mathrm { x } }_ 1 = 27.37 & \overline { \mathrm { x } }_ 2 = 29.92 \\\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s}_ 2 = 2.8\end{array}$$

A) Reject H₀ if the standardized test statistic is less than -1.313.
B) Reject H₀ if the standardized test statistic is less than -2.467.
C) Reject H₀ if the standardized test statistic is less than -1.701.
D) Reject H₀ if the standardized test statistic is less than -0.683.