Chapter 6: More Practice With Normal Distributions.
As a part of the preparation for this week’s 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 the probability that x is between A and B: P (A < x < B).
Here are the 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 a real situation where this technique can be applied. For instance, see Chapter 6 section 6.3 example 6.11 on page 281 of eText: Intelligence Quotients example. Create your own scenario and values.
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