Statistics For Business And Economics
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 99 and a standard deviation of 21. Complete the following statements about the distribution of scores on this personality test.
(a) According to Chebyshev's theorem, at least of the scores lie between 57 and 141.
(b) According to Chebyshev's theorem, at least of the scores lie between 36 and 162 .
(c) Suppose that the distribution is bell-shaped.rule, approximately of the scores lie between 57 and 141
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the scores lie between 0 and O.
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