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The national average for mathematics on a standardized test in2011was519. Suppose that the distribution of scores was approximately bell-shaped and that the standard deviation was

The national average for mathematics on a standardized test in2011was519. Suppose that the distribution of scores was approximately bell-shaped and that the standard deviation was approximately45. Round your answers to at least one decimal place as needed.

(a) Within what boundaries would you expect95%of the scores to fall?

(b) What percentage of scores would be above564?

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