# Question: According to the National Center for Education Statistics www nces ed gov the

According to the National Center for Education Statistics (www.nces.ed.gov), the amounts of all loans, including Federal Parent PLUS loans, granted to students during the 2007–2008 academic year had a distribution with a mean of $8109.65. Suppose that the standard deviation of this distribution is $2412.

a. Using Chebyshev’s theorem, find at least what percentage of students had 2007–2008 such loans between

i. $2079.65 and $14,139.65

ii. $3285.65 and $12,933.65

*b. Using Chebyshev’s theorem, find the interval that contains the amounts of 2007–2008 such loans for at least 89% of all students.

a. Using Chebyshev’s theorem, find at least what percentage of students had 2007–2008 such loans between

i. $2079.65 and $14,139.65

ii. $3285.65 and $12,933.65

*b. Using Chebyshev’s theorem, find the interval that contains the amounts of 2007–2008 such loans for at least 89% of all students.

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