A sample of 53 female workers and another sample of 75 male workers from a state produced mean weekly earnings of $ 732.25 for the females and $ 760.08 for the males. Suppose that the population standard deviations of the weekly earnings are $ 82.70 for all females and $ 99.41 for all 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. i ! to i !

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