Case 6(8 Marks)Mean Difference of Credit Card Debts of Households A credit card watchdog group claims that there is a difference in the mean credit card debts of households in

New York and Texas. The results of a random survey of 250 households from each state are shown below. The two samples are independent. 1. At a = 0.05, is there enough evidence to support the claim? 2. At a = 0.01, is there enough evidence to not support the claim? 3. Construct a confidence interval for the difference between two population means at a =0.05. 4. Construct a confidence interval for the difference between two population means at a0.01.