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Elementary,Middle School,High School,College,University,PHD
Teaching Since: | Jul 2017 |
Last Sign in: | 306 Weeks Ago, 6 Days Ago |
Questions Answered: | 5023 |
Tutorials Posted: | 5024 |
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.
Â
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(a) According to Chebyshev's theorem, at least ?
of the scores lie between 51.5 and 166.5Â .
Â
(b) According to Chebyshev's theorem, at least ?
of the scores lie between 63 and 155Â .
Â
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?
of the scores lie between 63 and 155Â .
Â
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the scores lie between
Â
? and ?
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