A random sample of test scores of the GRE exam by 25 students produces a mean of

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A random sample of test scores of the GRE exam by 25 students produces a mean of 575 and standard deviation of 60.

(a) Determine the 99% confidence interval on the mean score for all students at the university.

(b) What assertion can be made about the magnitude of the error, if we state that the mean score of all students at the university is 575 and assume that we wish to be 99% confident in our assertion?

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