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 49.4 , with a standard deviation of 9.6 . 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  _%? (36%56%75%84%89%) of the scores lie between 30.2and 68.6.

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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
49.4
, with a standard deviation of
9.6
. 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  _%? (36%56%75%84%89%) of the scores lie between 30.2and 68.6.
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