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· secure I https / ing.cera dex.htmirdeploymentid-5481531805548986902709 5% MINDTAP Complete: Chapter 6 Problem Set the following f gre shows te normal dstiuton with e roportos ofthe area under the nomai arve contained withn one, two, and three standard devietions of the mean. The last groportion on each sde, 0.13%, depicts the remairing area under the are specially, o 13% of the area under the standard norma' dshtuen s ored above z score values greater than the mean (u) plus three standard deviations(+3a). Also, because the nomal distributon 's symmetra, o 13%of the area under the standard noma distributio kotrd blow z-score values less then the mean (u) minus three standard deviations (-30). 24.3% 34 13% 13 59% 13.59% 215% 2.15% 13% use the fiqure to help you answer the foilowing questions The sational Assessment of Educational Progness NAEP) is a nationwide ansessment of students proficiency in nise subjects: machematics, reading, writing, science, the arts, civics, economics, geography, and us. hatory. The main NASP aswessments are conducted annually on samples of students from grades 4,, and s2 in 1994, the US hatary scres for male students had mean of 259 . stana deviation of 31 Aasunt that these scores are eomally dstributed with the given mean and standard deviation above the mean This means that the per entage of male dets men scores 193 n6 325 above the mean As a result, the percentage of male students weh students mave scores above 4Explanation / Answer
mean = 259 , sd = 33
193 = 259 - 2 *33
hence 193 is 2 sd below mean
325 is 2 sd above mean
that means the % between 193 and 325 is 68.26 %
Please rate
b)
358 is 3 sd above mean
hence
% below 358 is 100 - 0.13 = 99.97 %
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