SOLUTION: Suppose a test given to students has a mean of 500 and standard deviation of 50 and the test scores are normally distributed. What is the probablity that a single random student

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Question 428882: Suppose a test given to students has a mean of 500 and standard deviation of 50 and the test scores are normally distributed.
What is the probablity that a single random student has a score between 495 and 503?
What is the shape, mean and standard deviation of the sampling distribution of mean(x bar) is based of a sample of n=36 randomly selected students?
Answer by stanbon(75887) About Me  (Show Source):
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Suppose a test given to students has a mean of 500 and standard deviation of 50 and the test scores are normally distributed.
What is the probablity that a single random student
has a score between 495 and 503?
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z(495) = (495-500)/50 = -1/10
z(503) = (503-500)/50 = 3/50
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P(495< x < 503) = P(-0.1 < z < 0.06) = 0.0638
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Cheers,
Stan H.
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What is the shape, mean and standard deviation of the sampling distribution of mean(x bar) is based of a sample of n=36 randomly selected students?