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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 p-value for this test,rounded to four decimal places?


Definitions:

Catatonic Schizophrenia

A subtype of schizophrenia characterized by abnormalities in movement and behavior, ranging from stupor to excessive motor activity.

Manic Depression

Also known as bipolar disorder, a mental illness characterized by extreme mood swings from mania to depression.

Paranoid Schizophrenia

A subtype of schizophrenia characterized by prominent delusions of persecution or grandeur, frequently accompanied by auditory hallucinations.

Disorganized Schizophrenia

A subtype of schizophrenia characterized by disorganized speech and behavior, and inappropriate or flat emotional responses.

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