Chapter 6: More Practice With Normal Distributions.
As a part of preparation for this week test, let’s practice with another case related to the Normal distribution.
Assign your numbers for mean μ and standard deviation σ.
Then select a number “A” below mean μ, and a number “B” above mean μ.
Use Appendix Table for the Normal Distribution to find probability
that x is between A and B: P (A < x < B).
Here are steps to follow: convert A to z score (let’s call it za),
convert B to z score (let’s call it zb).;
From Appendix table find area under curve to the left of za and to the left of zb.
That will give you P (z < za) and P (z < zb).
If za or zb are not in the table, change your A or B.
Use formula: P (A < x < B) = P (za < z < zb) = P (z < zb) – P (z < za)
Don’t just assign numbers, make an example from real situation
where this technique can be applied. For instance see Chapter 6 section 6.3 example 6.11 on page 270 of eText: Intelligence Quotients example. Create your own scenario and values.