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

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } > \mu _ { 2 }$ AssumAssume the two samples are random and independent. At a level of significance of α = 0.01, when should you reject H₀?
Population statistics: $\sigma _ { 1 } = 45 \text { and } \sigma _ { 2 } = 25$ Sample statistics: $\overline { \mathrm { x } } 1 = 805 , \mathrm { n } _ { 1 } = 100 \text { and } \overline { \mathrm { x } } 2 = 790 , \mathrm { n } _ { 2 } = 125$

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