determine the probability of e) μ = 37, σ = 4.35, x > 35: f) μ = 156, σ = 11.4, x ≥ 170: round z to 2 decimals. round answer to 4 decimal.
how to find z?
z is the standard score that makes all normal distributions stand upon equal footings
z is a measure of how far away you are from a mean of 0 with a standard deviation of 1
if the mean is 37 and we want to get it to 0, we have to subtract ...well, 37 from it and all its data points; we shift it to 0
(x - mean) is a good start, but we need to adjust this for the standard deviation not; it needs to be 1. And to do that you simply divide the given sd by itself ... and all points associsated with it
z = (x-mean)/sd
to find the zscore for say : 35 then.. z = (35-37)/4.35 = 2/4.35 = .459
now we need to either integrate the equation of the normal curve distribution ... aint gonna happen; or use tables that were created from them to look up this z scores probability value
the trick is being able to read the ztables since there are a few different ones that measure from different points
let me find one I can use from google tho ...this one should do fine
I just figured this one out can you help me with the one i just posted?
this one measures from all the way to the left so it gives us the probability value for the area LESS THAN our z
lol ... i can try :)
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