Question: 2. Two machines A and B are packaging 8-oz boxes of corn flakes. From past experience with the machines, it is assumed that the standard

2. Two machines A and B are packaging 8-oz boxes of corn flakes. From past experience with the machines, it is assumed that the standard deviations of weights of the filling from the machines A and B are 0.04 oz and 0.05 oz, respectively. One hundred boxes filled by each machine are selected at random and the following is found:

Machine A: nA = 100, ¯XA = 8.18 oz Machine B: nB = 100, ¯XB = 8.15 oz Find a 99% confidence interval for μA

− μB, the difference of the means of populations of weights of fillings produced by machines A and B.

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