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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:

Sample mean: Men= 64.5 years. Women=63.6 years.

Sample size: Men= 35. Women= 39.

Population standard deviation: Men= 3.0 years. Women= 3.5 years.

If Population 1 is defined as men and Population 2 is defined as women, the critical value for this hypothesis test would be

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