Statistics For Business And Economics
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 51.7, with a standard deviation of 10.5. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.
(a) According to Chebyshev's theorem, at least 8/9 (about 89%) of the scores lie between and . (Round your answer to 1 decimal place.)
(b) According to Chebyshev's theorem, at least ?of the scores lie between 30.7 and 72.7.
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?v of the scores lie between 30.7 and 72.7.
(d) Suppose that trule, is bell-shaped. According to the empirical he scores lie between
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