- #1
g.lemaitre
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Homework Statement
I want to calculate the probability of a random sample falling between 2 z scores using the way real mathematicians do it not the fake way by resorting to tables. Ok, so the book outlines the equation below but says that it requires calculus which is beyond the scope of this course. I know calculus so let's do it.
Homework Equations
z = (x - μ)/σ
The Attempt at a Solution
Let's say x = 21, μ = 14 and σ = 6
thus
(21 - 14)/6 = 1.16, according to the tables the probability of a random sample falling between the z scores 0 and 1.16 is .3770
Now, let's use the calc equation:
[tex] \frac{\exp\frac{1}{2}(\frac{21-14}{6})^2}{6 \sqrt{2\pi}} [/tex]
= .0336, not .3770, so I'm doing something wrong
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