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There are dozens of personality tests available on the World Wide Web. One test, scored on a scale of to , is designed to give
There are dozens of personality tests available on the World Wide Web. One test, scored on a scale of to , 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 and a standard deviation of . 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 between 33 and 165 . (b) According to Chebyshev's theorem, at least ?56%75%84%89% of the scores lie between 55 and 143
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