The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a d

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answerhappygod
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The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a d

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The scores of 12th-grade students on the National Assessment of
Educational Progress year 2000 mathematics test have a distribution
that is approximately Normal with mean µ = 270
and standard deviation s = 30.
Choose one 12th-grader at random. What is the probability (±±0.1)
that his or her score is higher than
270?
Higher than 300 (±±0.001)?
Now choose an SRS of 16 twelfth-graders and calculate their mean
score x¯¯¯x¯. If you did this many times, what would be the
mean of all the x¯¯¯x¯-values?
What would be the standard deviation (±±0.1) of all
the x¯¯¯x¯-values?
What is the probability that the mean score for your SRS is
higher
than 270? (±±0.1) Higher
than 300? (±±0.0001)
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