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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.
-Derive the corresponding 95% confidence interval,rounded to two decimal places,for the difference between the mean weekly earnings for all female and male workers in this state.


Definitions:

Proximity

A Gestalt principle of perception; the tendency to perceive objects that are close to each other as part of the same grouping; physical or geographical nearness.

Acculturation

The process of cultural change and psychological change that results following meeting between cultures, including adopting the cultural traits or social patterns of another group.

Acculturative Stress

The psychological impact of adapting to a new culture, which may involve stress due to loss of social support systems, identity confusion, and facing discrimination.

Marginalized

Describes individuals or groups that are excluded, ignored, or relegated to the outer edge of society or a community.

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