SOLUTION: In a normal distribution with mu = 100 and sigma = 4 what number corresponds to z = -3?

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Question 974082: In a normal distribution with mu = 100 and sigma = 4 what number corresponds to z = -3?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
z+=+%28x-mu%29%2Fsigma


z+=+%28x-100%29%2F4 Plug in the given mu and sigma


-3+=+%28x-100%29%2F4 Plug in the given z-score


-3%2A4+=+4%2A%28x-100%29%2F4 Multiply both sides by 4.


-12+=+x-100


-12%2B100+=+x-100%2B100 Add 100 to both sides.


88+=+x


x=88


The raw score of x=88 corresponds to z=-3

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