9 of 10 (8 complete core: 0 of 1 pt 2.30 A certain standardized test\'s math sco

Question

9 of 10 (8 complete core: 0 of 1 pt 2.30 A certain standardized test's math scores have a bell-shaped distributio of 119. Complete parts (a) through (c). (a) What percentage of standardized test scores is between 163 and 87 99.7 % (Round to the nearest tenth as needed.) (b) What percentage of standardized test scores is less than 163 or greate .3 % (Round to the nearest tenth as needed.) (c) What percentage of standardized test scores is greater than 758? % (Round to the nearest tenth as needed.) Ent ter your answer in the answer box and then click Check Answer. All parts showing Clear All Final Review/Exam This course (2018 Spring MATH 1530

Explanation / Answer

Ans:

a)163 and 877 are 3 standard deviation below and above the mean i.e 520

So,according to emprical rule,99.7% of the scores will fall within 163 and 877

b)1-0.997=0.003 or 0.3% will fall outside 163 and 877

c)758 is 2 standard deviation above the mean(520+2*119=758)

According to empirical rule,95% of the data fall within 2 standard deviations of the mean.

As,normal distribution is syymmetrical,out of the rest 5%,half i.e 2.5% will fall above 2 standard deviations of the mean i.e. 758

Hence,correct answer will be 2.5%

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