SOLUTION: ACT scores for each section are standardized so scores follow an approximately normal distribution with mean 21 points and standard deviation 4.7. A. Based on out standard normal

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Question 851393: ACT scores for each section are standardized so scores follow an approximately normal distribution with mean 21 points and standard deviation 4.7.
A. Based on out standard normal distribution, what is the value of z such that the proportion of observations below it is 0.6700?
B. Find the ACT score for which the proportion of observations below it is 0.6700.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A. NORMSDIST(0.67) = .4399

B. z= .4399 = (x-21)/4.7

      4.7*.4399 + 21 = 23  

23 the ACT score for which the proportion of observations below it is 0.6700.