There are dozens of personality tests available on the World Wide Web. One test, scored on a
Question:
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 100 and a standard deviation of 22 . Complete the following statements about the distribution of scores on this personality test.
(a) According to Chebyshev's theorem, at least 8/9 (about 89%) of the scores lie between X and X. (Round your answer to the nearest integer.)
b) According to Chebyshev's theorem, at least? % of the scores lie between 56 and 144 .
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately % (c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately
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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