Suppose you draw a random sample of 8 first year masters students and find that their ages are 24, 29, 31, 29, 28, 28, 26, 32, respectively; and you draw a random sample of 6 second year masters students and find their ages are 33, 31, 26, 27, 28, and 30, respectively. Assume age is normally distributed in both populations with equal variance. Construct 95% confidence interval for the difference in mean ages of first and second year students.
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