Question

In: Statistics and Probability

Every Normal model is defined by its parameter, the mean and the standard deviation. For the...

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 = ?

Solutions

Expert Solution

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:


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