Question

# There are dozens of personality tests available on the World Wide Web. One test, scored on...

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 36% of the scores lie between ----and----- . (Round your answer to the nearest integer.)

(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the scores lie between -----and ------.

(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately------- of the scores lie between 57 and 141.