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In: Statistics and Probability

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 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. What is the probability that the 49 balls traveled an average of less than 240 feet?

Expert Solution

Solution :

Given that ,

mean = = 250

standard deviation = = 50

n = 49

= 250

= / n = 50 / 49=7.1429

P( <240 ) = P[( - ) / < (240 -250) /7.1429 ]

= P(z < -1.40)

Using z table

= 0.0808

probability=0.0808

orchestra answered 2 years ago

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

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