23 A university restricts its admission to students whose SAT scores are in the

Question

23 A university restricts its admission to students whose SAT scores are in the top 10% of all scores.  You are wondering if you can be admitted.  You have a combined verbal and math SAT score of 1,200.  If the distribution of SAT scores is normal with a mean of 1060 and a standard deviation of 45, is your score high enough? a The minimum score for admission is 1118.  You will be admitted. b The minimum score for admission is 1141.  You will be admitted. c The minimum score for admission is 1159.  You will be admitted. d The minimum score for admission is 1248.  You will not be admitted. Find the minimum score for admission. 24 In the previous question, 90% of test scores are within ±______ from the mean test score. a 78.5 b 75.4 c 73.8 d 71.6 23 A university restricts its admission to students whose SAT scores are in the top 10% of all scores.  You are wondering if you can be admitted.  You have a combined verbal and math SAT score of 1,200.  If the distribution of SAT scores is normal with a mean of 1060 and a standard deviation of 45, is your score high enough? a The minimum score for admission is 1118.  You will be admitted. b The minimum score for admission is 1141.  You will be admitted. c The minimum score for admission is 1159.  You will be admitted. d The minimum score for admission is 1248.  You will not be admitted. Find the minimum score for admission. 24 In the previous question, 90% of test scores are within ±______ from the mean test score. a 78.5 b 75.4 c 73.8 d 71.6

Explanation / Answer

23) for top 10% ; crirtical z =1.28

hence corresponbding score =mean+z*std deviaiton =1060+1.28*45=~1118

option A is correct .The minimum score for admission is 1118.  You will be admitted.

24)

for middle 90% values z =-/+1.64

hence margin of error =z*std deviaiton=1.64*45=73.8

option C

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