SOLUTION: an entrance exam has a mean of 1200 and standard deviation of 100. Applicants who score in the 90% or higher will be admitted. What is the lowest score they need on the exam?

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Question 933223: an entrance exam has a mean of 1200 and standard deviation of 100. Applicants who score in the 90% or higher will be admitted. What is the lowest score they need on the exam?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
mean of 1200 and standard deviation of 100.
z+=+blue%28x+-+1200%29%2Fblue%28100%29
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Applicants who score in the 90% or higher will be admitted.
z = invNorm(.90) = blue%28x+-+1200%29%2Fblue%28100%29
invNorm(.90) = 1.2816 (find Using table 0r Calculator 0r Excel function)
......
100(1.2816) + 1200 = 1328.16. 1329 score need for admittance
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For the normal distribution: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
90% of the Area under the standard normal curve is to the left of z = 1.2816
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right