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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.
-The significance level for the test is 1%.What is the critical value of z?


Definitions:

Tangible

Physical items or properties that can be seen, touched, and measured, such as machinery, buildings, and land.

Variation

Variation is the difference or diversity in size, shape, quality, or form among individual elements or items within a population or a series of events.

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