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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 257 feet and a standard deviation of 54 feet. We randomly sample 36 fly balls. Let X¯= average distance in feet for 36 fly balls. Enter numbers as integers or fractions in "p/q" form, or as decimals accurate to nearest 0.01 .

Use the mean and standard deviation of   X¯   to determine the   z   value for   X¯=240 .

What is the probability that the 36 balls traveled an average of greater than   240   feet?

Find the 80th percentile of the distribution of the average of   36   fly balls. That is, find   x   so that   P(X¯<x)=0.8 .

Math   Statistics-And-Probability   
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