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A sample of 76 female workers and another sample of 48 male workers from a state produced mean weekly earnings of $743.50 for the females and $777.63 for the males.Suppose that the standard deviations of the weekly earnings are $80.05 for the females and $88.68 for the males.The null hypothesis is that the mean weekly earnings are the same for females and males,while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males.
-What is the value of the test statistic,rounded to three decimal places?


Definitions:

Satisfaction

The feeling of fulfillment or pleasure arising from the attainment of one's goals or desires.

Celerity

Speed with which an individual initiates interaction with his or her environment

Interaction

The reciprocal action or influence between entities, such as people, objects, or concepts, within a particular context.

Environment

The surrounding conditions or factors, including social, physical, and economic, that influence individuals' living and working conditions.

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