Picking melons Two stores sell watermelons. At the firststore the melons weigh an average of 22 pounds, witha standard deviation of 2.5 pounds. At the second storethe melons are smaller, with a mean of 18 pounds anda standard deviation of 2 pounds. You select a melon atrandom at each store.a) What’s the mean difference in weights of the melons?b) What’s the standard deviation of the difference inweights? c) If a Normal model can be used to describe the differ-ence in weights, what’s the probability that the melon you got at the first store is heavier?

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Picking melons Two stores sell watermelons. At the first
store the melons weigh an average of 22 pounds, with
a standard deviation of 2.5 pounds. At the second store
the melons are smaller, with a mean of 18 pounds and
a standard deviation of 2 pounds. You select a melon at
random at each store.
a) What’s the mean difference in weights of the melons?
b) What’s the standard deviation of the difference in
weights?
c) If a Normal model can be used to describe the differ-
ence in weights, what’s the probability that the melon
you got at the first store is heavier?
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