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The heights of young women aged 20 to 29 follow approximately the N (64, 2.7) distribution. Young men the same age have heights distributed as

The heights of young women aged 20 to 29 follow approximately theN(64, 2.7) distribution. Young men the same age have heights distributed asN(69.3, 2.8).

What is the probability that the average height of a random sample of 49 young men exceeds that of a random sample of 81 young women by more than 5 inches? You may assume that the men were selectedindependentlyof the women.

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