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

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } < \mu _ { 2 }$ Assume the two samples are random and independent. At a level of significance of α $\alpha$ = 0.05, when should you reject H₀?
Population statistics: $\sigma _ { 1 } = 2.9 \text { and } \sigma _ { 2 } = 2.8$ Sample statistics: $\overline { \mathrm { x } } 1 = 28.85 , \mathrm { n } _ { 1 } = 35 \text { and } \overline { \mathrm { x } } 2 = 31.4 , \mathrm { n } _ { 2 } = 42$

A) Reject H₀ if the standardized test statistic is less than -1.645.
B) Reject H₀ if the standardized test statistic is less than -1.96.
C) Reject H₀ if the standardized test statistic is less than -2.33.
D) Reject H₀ if the standardized test statistic is less than -2.575.