Suppose Chloe works for a non-profit organization that raises funds to provide c

Question

Suppose Chloe works for a non-profit organization that raises funds to provide counseling for primary caregivers in single-parent families. Chloe's boss wants to know more about the likely ages of parents who will receive counsel from their organization Chloe's boss asks Chloe to provide an interval of the middle 93.75% of ages of single parents. Chloe knows that the mean age of the primary caregivers in single-parent families in her community is 45 years old and that the corresponding standard deivation is 7, however she does not know how these ages are distributed. Using Chebyshev's inequality, what interval should Chloe give for the middle 93.75% of ages of single parents in her community? Round your answers to the nearest whole number. Avoid rounding within calculations. interval lower bound - interval upper bound-

Explanation / Answer

Ans:

For Chebyshev's inequality:

0.9375=1-(1/k^2)

1/k^2=0.0625

k=sqrt(1/0.0625)=4

Mean=45 and standard deviation=7

Lower bound=45-4*7=17

Upper bound=45+4*7=73

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