A credit company has gathered information regarding the average amount (in $) owed by people under 30 years of age and by people over 30 years by taking independent random samples from both age groups. You are given the following information.                                       Under 30          Over 30 sample mean                   600                   550 n                                       200                  300 σ2                                     361                   400 ​ Construct a 95% confidence interval for the difference between the population average amounts owed by the two age groups.

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