Advanced Placement (AP)

The distribution of ocean wave height at a certain California beach is approximately normal with mean 7.2 feet. The distribution of ocean wave height at a certain Florida beach is approximately normal with mean 6.6 feet. Six waves from each beach will be selected at random and the heights will be recorded. Let x¯C represent the sample mean height of the 6 California waves, and let x¯F represent the sample mean height of the 6 Florida waves. Which of the following is the best interpretation of P(x¯C−x¯F>0.5)=0.55 ?

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