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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:

Character Strengths

Positive traits or qualities that are considered inherent in individuals and contribute to their overall well-being and ability to achieve personal goals.

Cultures

The shared beliefs, practices, norms, and values of a group of people that influence their behavior and way of life.

Personal Agency

Personal agency refers to the capacity of individuals to act independently and make their own free choices, shaping their own life path.

Effective Decisions

Choices made based on sound judgment that lead to desired outcomes efficiently.

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