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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:

Net Income

The conclusive profit of a business, determined by subtracting expenses, taxes, and costs from its overall revenue.

Excess of Cost

Excess of cost refers to the situation where the purchase price of an acquired company exceeds the sum of the fair value of its identifiable tangible and intangible assets.

Book Value

The company's assets' total worth after subtracting its debts, frequently utilized to determine whether a stock is priced too low or too high.

Fair Value

The financial receipts from a sale of an asset or the liabilities' transfer expense in a transaction that is orderly and involves market participants at the time allocated for measurement.

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