SOLUTION: 1. Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100. a. What percentage of the people taki

Algebra ->  Probability-and-statistics -> SOLUTION: 1. Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100. a. What percentage of the people taki      Log On


   

Question 376829: 1. Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100.
a. What percentage of the people taking the test score between 400 and 500?
b. Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse?
c. A university will not admit a student who does not score in the upper 25% of those taking the test regardless of other criteria. What score is necessary to be considered for admission?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

*Note: z+=+blue%28x+-+mu%29%2Fblue%28sigma%29

     z = 600-450 /100 = .5     NORMSDIST(0.5)  = .691462

     z = 400-450 /100 = -.5    NORMSDIST(-0.5) = .30854

P( -.5 < z <.5) = .691462 - .30854 = .3829  Or 38.29%

Receiving score of 630:

     z = 630-450 /100 = 1.8    NORMSDIST(1.8)  = .9641

96.41% score less and 3.59 % score better



upper 25%

z = NORMSINV(0.75)= .6745

    .6745 *100  + 450 = 517 Would need score >517 to be considered for admissions