In: Statistics and Probability
Every Normal model is defined by its parameter, the mean and the standard deviation. For the model described below, find the missing parameter. Hint: As always, start by drawing a picture.
Model:
µ = 88, 2% below 50; σ = ?
Solution:
Find z value such that:
P( Z < z ) =0.0200
Look in z table for Area = 0.0200 or its closest area and find corresponding z value.
Area 0.0202 is closest to 0.0200 and it corresponds to -2.0 and
0.05
that is z = -2.05
Now use z score formula: