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In a random sample of 50 Americans five years ago (Group 1),

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?

– A. H0: μ1= μ2 ; H1: μ1 ≠ μ2
– B. H0: μ1 ≤ μ2 ; H1: μ1 ≥ μ2
– C. H0: μ1 ≠ μ2 ; H1: μ1 = μ2
– D. H0: μ1 ≥ μ2 ; H1: μ1 ≤ μ2
– E. H0: μ1 = μ2 ; H1: μ1 > μ2
– F. H0: μ1 < μ2 ; H1: μ1 = μ2

 
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