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Assume that you have a sample of n1=9​, with the sample mean X1=45​, and a sample standard deviation of S1=6​, and you have an independent sample of n2=16 from another population with a sample mean of X2=37​, and the sample standard deviation S2=5. Construct a 99​% confidence interval estimate of the population mean difference between μ1 and μ2. Assume that the two population variances are equal. ( ) ≤ μ1 −μ2 ≤ ( ) ​(Round to two decimal places as​ needed.)

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