Test the Hypothesis That $\mu _ { 1 } \neq \mu _ { 2 }$

question 43

Essay

Test the hypothesis that $\mu _ { 1 } \neq \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.02$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 51 & \mathrm { n } _ { 2 } = 38 \\\overline { \mathrm { x } } 1 = 3.9 & \overline { \mathrm { x } } 2 = 4.3 \\\mathrm {~s} 1 = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

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Definitions:

Strategic Objectives

Long-term goals set by an organization to achieve its overall strategy and mission.

Criterion Contamination

In performance appraisal or research, when factors unrelated to the construct being measured affect the scores.

Correlations

Statistical measurements that describe the extent to which two variables move in relation to each other.

Performance Standards

Established benchmarks or criteria against which the execution or quality of work tasks and outputs are measured.