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In: Statistics and Probability

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

Suppose that the distance, X, of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 60 fly balls. What is the 70th percentile of the distribution of sample means?

Expert Solution

Given that,

mean = = 250

standard deviation = = 50

n = 60

= 250

= / n = 50/60=6.45

Using standard normal table,

P(Z < z) = 70%

= P(Z < z) = 0.70

z = 0.52 Using standard normal table,

Using z-score formula

= z * +

= 0.52*6.45+250

= 253.35

orchestra answered 3 years ago

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

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