theorem and the empirical rule Espar There are dozens of personality tests available on the World Wide Web. One test, scored on a scale of 0 to 200, is designed to give an indication of how "personable" the test taker is, with higher scores indicating more "personability." Suppose that scores on this test have a mean of 100. Complete the following statements about the distribution of scores on this personality test. (a) According to Chebyshev's theorem, at least ? v of the scores lie within 1.5 standard deviations of the mean, 100 . C (b) Suppose that the distribution is bell-shaped. If approximately 68% of the X 5 ? scores lie between 82 and 118 , then the approximate value of the standard deviation for the distribution, according to the empirical rule, is