Zeyang Wu 1/26/17 7:05 PM DR. HONG STT 315 TA DeLaura Save Homework: Chapter 2 H

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Zeyang Wu 1/26/17 7:05 PM DR. HONG STT 315 TA DeLaura Save Homework: Chapter 2 Homework Assignment Score 1 of 1 pt HW Score: 100%, 11 of 11 pts 6 of 11 (11 complete) 2.5.88 EQuestion Help A survey tracks a nationally representative sample of students from eighth grade through high school and college. Research published in a journal examined the scores of 265 students who paid a private tutor to help them improve their scores. The table below summarizes the changes in both the Mathematics and Verbal scores for these students. Complete parts a through c. Math Verbal 16 Mean change in score Standard deviation of score changes 65 a. Suppose one of the 265 students who paid a private tutor is selected at random, Give the interval that is likely to contain this student's Math score, that is, the interval that contains a of the changes in students Math scores. (-179.211)(Type your answer in interval notation b. Repeat part a for the Verbal score. 138. 156)(ype your answer in interval notation.) c. Suppose the selected student's score increased on one of the tests by 202 points. Which test, the Math or Verbal, is the one most likely to have had the 202-point increase? A. Math O B. Cannot be determined Verbal Question is complete. All parts showing Similar Question

Explanation / Answer

here as per chebychev's theorum 8/9 score's lie in 3 std deviation away from mean

this can be seen by (8/9) =1-1/k2

k=3

a) hence for math score 3 std deviation away score =mean +/- 3*std deviation

=-179 ; 217

b) similarly for verbal score 3 std deviation away score from mean =-138 ;156

c) z score =(X-mean)/std deviation

what ever score has low z score means that would be near to mean and more likely event

for 202 points

math z score =(202-16)/65=2.86

verbal z score =(202-9)/49 =3.94

as z score for math is lower . hence math is most likely

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