Let X1, X2, . . . , X5 be a random sample of SAT mathematics scores, assumed to be N(μX, σ2), and let Y1, Y2, . . . , Y8 be an independent random sample of SAT verbal scores, assumed to be N(μY, σ2). If the following data are observed, find a 90% confidence interval for μX ˆ’ μY:

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x1=644 x2 = 493 x3=532 x4=462 x5=565