Let X equal the fill weight in April and Y the fill weight in June for an 8-pound box of

Chapter 8, Problem 8.2-11

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Let X equal the fill weight in April and Y the fill weight in June for an 8-pound box of bleach. We shall test the null hypothesis H0: XY = 0 against the alternative hypothesis H1: X Y > 0 given that n = 90 observations of X yielded x = 8.10 and sx = 0.117 and m = 110 observations of Y yielded y = 8.07 and sy = 0.054. (a) What is your conclusion if = 0.05? Hint: Do the variances seem to be equal? (b) What is the approximate p-value of this test?

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