16 01 points I Previous Answers MIntrostat7 1E134 My Notes T

16. 0/1 points I Previous Answers MIntrostat7 1.E.134. My Notes There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores are approximately Normal with me an u J 21.5 and standard de ation o 5.4. SAT scores are reported on a scale from 600 to 2400 The SAT scores are approximately Normal with mean u 1509 and standard deviation or 321 Assuming that both tests measure the same thing, what score on the is equivalent to Jose\'s SAT score? Round your answer to one decimal pla Jose scores 1620 on the SAT. ACT 0.3 Submit Answer Save Progress Practice Another Version 17. 0/1 points I Previous Answers MIntroStat7 35 My Notes There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores are approximately Normal with me an u J 21.5 and standard de ation o 5.4. SAT scores are reported on a scale from 600 to 2400. The SAT scores are approximately Normal with mean u 1509 and standard deviation or 321 Maria scores 16 on the ACT. Assuming that both tests measure the same thing, what score on the SAT is equivalent to Maria\'s ACT score? Round your answer to a whole number.) 1895 18. C+ -1 points ntroStat7 39 My Notes There are two major tests of readiness fo college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores for more than 1 mill On students in a recent high school graduating class was roughly normal with mean u 20.8 and standard de ation or 4.8. SAT scores are reported on a scale from 400 to 1600. The SAT scores for 1.4 million students in the same graduating class were roughly normal with mean u 026 and standard de ation or 209 How well must Abigail do on the SAT in order to place in the top 7% of all students Round your answer to the nearest whole number.)

Solution

16) SAT -

Score = 1620

mean = 1509 and stdev = 321

Z = (1620 - 1509)/321 = 0.3458

ACT

mean = 21.5 and stdev = 5.4

0.3458 = (ACT Score - 21.5)/5.4

ACT Score = 23.4

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17) ACT -

Score = 16

mean = 21.5 and stdev = 5.4

Z = (16 - 21.5)/5.4 = -1.018

SAT

mean = 1509 and stdev = 321

-1.018 = (SAT Score - 1509)/321

SAT Score = 1182

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18) mean = 1026 stdev = 209

p = 93% = 0.93

z score for p = 0.93 is 1.476

1.476 = (X - 1026)/209

X = 1334