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High school graduates: The National Center for Educational Statistics reported that 82% of freshmen entering public...

High school graduates: The National Center for Educational Statistics reported that 82% of freshmen entering public high schools in the U.S. in 2009 graduated with their class in 2013. A random sample of 135 freshmen is chosen.

a.

Page 333

Find the mean μ.

b.

Find the standard deviation σ.

c.

Find the probability that less than 80% of freshmen in the sample graduated.

d.

Find the probability that the sample proportion of students who graduated is between 0.75 and 0.85.

e.

Find the probability that more than 75% of freshmen in the sample graduated.

f.

Would it be unusual if the sample proportion of students who graduated were more than 0.90?

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