In a random sample of 50 Americans five years ago (Group 1), the average credit card debt was $5,798. In a random sample of 50 Americans in the present day (Group 2), the average credit card debt is $6,511. Let the population standard deviation be $1,154 five years ago, and let the current population standard deviation be $1,645. Using a 0.01 level of significance, test if there is a difference in credit card debt today versus five years ago. What are the correct hypotheses for this problem?

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