Question

A sample of 52 books has a mean cost of $97.26 and a standard deviation of $4.10. Use this information and the special cases of Chebychev's rule to complete the statements below:

(i) At least 39 of the 52 books cost between ___________ and ___________;
(ii) At least ____________ of the 52 books cost between $84.96 and $109.56.  

Answer 1

Given That: n=52 , 97.26,  =4.10

Using Chebychev's Rule,

i)

=( 97.26-2*4.1),(97.26+2*4.1)

=(89.06,105.46)

Hence, At least 39 of the 52 books cost between 89.06 and 105.46.

ii) At least 89% of the books cost between 84.96 and 109.56.