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

question 104

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.

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Definitions:

University of Pennsylvania

An Ivy League research university located in Philadelphia, known for its strong programs in business, engineering, and medical research.

Random Sample

A selection of members from a broader group, with each member having an equal opportunity to be picked.

News Narrative

The representation or structuring of news information and events into a consistent story or report.

Rejection Region

The range of values in hypothesis testing that, if the test statistic falls within, leads to the rejection of the null hypothesis.