Chebychev’s rule also permits you to make pertinent statements about a data set when only its mean and standard deviation are known. Here is an example of that use of Chebychev’s rule. Information Today, Inc. publishes information on costs of new books in The Bowker Annual Library and Book Trade Almanac. A sample of 40 sociology books has a mean cost of $106.75 and a standard deviation of $10.42. Use this information and the two aforementioned special cases of Chebychev’s rule to complete the following statements.
a. At least 30 of the 40 sociology books cost between ________ and ________.
b. At least ________ of the 40 sociology books cost between $75.49 and $138.01.

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