SOLUTION: based on a simple random sample of 100 applicants at st andrew's college, we'd like to estimate the probability that the sample mean of SAT scores will fall within +/-10of the popu

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Question 1198190: based on a simple random sample of 100 applicants at st andrew's college, we'd like to estimate the probability that the sample mean of SAT scores will fall within +/-10of the population mean 1697.
In other words, between 1687 and 1707, given that the population standard deviation of SAT score is 87.4?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
ME+=+z%2Asigma%2Fsqrt%28n%29
Or
ME%2F%28sigma%2Fsqrt%28n%29%29+=+z
z+=10%2F%2887.4%2Fsqrt%28100%29%29+ = 1.1442
Using Handheld TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P (z ≤ 1.1442) = normcdf(-9999,1.1442,1,0) = .8737, the probability of CI(1687,1707)