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In 2014 there were 25991 male students in NC who took the SAT; and 5278 of them scored 600 or better on the critical reading

In 2014 there were 25991 male students in NC who took the SAT; and 5278 of them scored 600 or better on the critical reading portion of the test.

We plan to take a sample of size 100 from this population and want to use the normal distribution to discuss the proportion of the sample scored 600 or better on the reading portion of the test.

(a) Explain clearly why we can use the normal distribution.

(b) Showing your work, find

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