# Help with Stats?

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 = 306 and standard deviation σ = 32 .
Choose one 12th-grader at random. What is the probability (±±0.1) that his or her score is higher than...
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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 = 306 and standard deviation σ = 32 .

Choose one 12th-grader at random. What is the probability (±±0.1) that his or her score is higher than 306 ? ____

Higher than 370 (±±0.001)? ____

Now choose an SRS of 4 twelfth-graders and calculate their mean score x. If you did this many times, what would be the mean of all the x-values? _____

What would be the standard deviation (±±0.1) of all the x-values? _____

What is the probability that the mean score for your SRS is higher

than 306 ? (±±0.1) _____

Higher than 370 ? (±±0.0001) ____

Choose one 12th-grader at random. What is the probability (±±0.1) that his or her score is higher than 306 ? ____

Higher than 370 (±±0.001)? ____

Now choose an SRS of 4 twelfth-graders and calculate their mean score x. If you did this many times, what would be the mean of all the x-values? _____

What would be the standard deviation (±±0.1) of all the x-values? _____

What is the probability that the mean score for your SRS is higher

than 306 ? (±±0.1) _____

Higher than 370 ? (±±0.0001) ____

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