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

question 97

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } > \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma { } _ { 1 } ^ { 2 } \neq \sigma_ { 2 } ^{ 2 }$ At a
Level of significance of α $\alpha$ = 0.01, when should you reject H₀? $$\begin{array} { l l } \mathrm { n } _ { 1 } = 18 & \mathrm { n } _ { 2 } = 13 \\\overline { \mathrm { x } }_ 1 = 595 & \overline { \mathrm { x } }_ 2 = 580 \\\mathrm {~s} 1 = 40 & \mathrm {~s} 2 = 25\end{array}$$

• A)Reject H₀ if the standardized test statistic is greater than 2.681.
• B)Reject H₀ if the standardized test statistic is greater than 1.699.
• C)Reject H₀ if the standardized test statistic is greater than 2.179.
• D)Reject H₀ if the standardized test statistic is greater than 3.055.

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Definitions:

Tolerance

The capacity to endure continued exposure to a substance (such as a drug) without adverse reaction, or a broad-minded acceptance of opinions or practices different from one's own.

Drug Users

Individuals who consume drugs, whether for medical purposes, recreation, or due to dependency issues.

Transformational Leadership

A leadership style that involves inspiring and motivating followers to achieve extraordinary outcomes and fostering an environment for positive change.

Reengineering

Fundamental rethinking and radical redesign of business processes to achieve dramatic improvements in critical measures of performance.