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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

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 110. Complete the following statements about the distribution of scores on this personality test.

(a) According to Chebyshev's theorem, at least ?56%75%84%89% of the scores lie within 2.5 standard deviations of the mean, 110 . (b) Suppose that the distribution is bell-shaped. If approximately 95% of the scores lie between 66 and 154 , then the approximate value of the standard deviation for the distribution, according to the empirical rule, is .

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