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

question 94

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.

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Definitions:

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Stands for the National Association for the Advancement of Colored People, an influential civil rights organization in the United States founded in 1909 to fight prejudice, lynching, and Jim Crow segregation.

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Differences in physical characteristics, cultural practices, or social experiences among various racial groups.

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