Assume that you have a sample of n1=9​, with the sample mean Xbar1=43​, and a sample standard deviation of S1=7​, and you have an independent sample of n2=14 from another population with a sample mean of Xbar2=31​,and the sample standard deviation S2=8. 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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