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

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } \neq \mu _ { 2 } .$ 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: $\sigma _ { 1 } = 1.5 \text { and } \sigma _ { 2 } = 1.9$ Sample statistics: $\overline { \mathrm { x } } 1 = 19 , \mathrm { n } _ { 1 } = 50 \text { and } \overline { \mathrm { x } } 2 = 17 , \mathrm { n } _ { 2 } = 60$

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