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The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age

The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using ? = 0.05 with the following data:

Men Women 64.5 63.6 Sample mean years years Sample size 35 39 Population standard 3.17 deviation years 3.5 years

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