SOLUTION: Assume that the sample is taken from a large population and the correction factor can be ignored. The average public elementary school has 450 students. Assume the standard dev

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Question 560162: Assume that the sample is taken from a large population and the correction factor can be ignored.
The average public elementary school has 450 students. Assume the standard deviation of the distribution is 98. If a random sample of 35 public elementary students is selected, find the probability that the number of students enrolled is between 447 and 456. Give answer as a percent rounded to two decimal places.
Answer by stanbon(75887) About Me  (Show Source):
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The average public elementary school has 450 students. Assume the standard deviation of the distribution is 98. If a random sample of 35 public elementary students is selected, find the probability that the number of students enrolled is between 447 and 456. Give answer as a percent rounded to two decimal places.
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z(447) = (447-450)/98 = -0.0306
z(456) = (456-450)/98 = 0.0612
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P(447 <= x <= 456) = P(-0.0306 <= z <= 0.0612) = 0.0366 = 3.66%
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Cheers,
Stan H.
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