Mathematics, 23.12.2021 06:30 aaliyahlopez85
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 103 and a standard deviation of 20. Complete the following statements about the distribution of scores on this personality test.
(a) According to Chebyshev's theorem, at least 36% of the scores lie between x and x. (Round your answer to the nearest integer.)
(b) According to Chebyshev's theorem, at least 56% or 75% or 84% or 89% of the scores lie between 63 and 143 .
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% or 75% or 95% or 99.7% of the scores lie between 63 and 143 .
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the scores lie between x and x.
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There are dozens of personality tests available on the World Wide Web. One test, scored on a scale o...
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