Standard Normal Distribution.  P. 147 31,33,34,35.

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Presentation transcript:

Standard Normal Distribution

 P ,33,34,35

 A Normal Distribution with:  µ = 0 and  σ = 1

Using a Table to find the percent of data to the left of a specific z-score

Find the percent of data to the left of Z = 2.22 EXAMPLE

Find the percent of data to the left of z = EXAMPLE

 Normalcdf (lower, upper, mean, standard deviation) 1. p(z < -2.15) 2. p(z > 2.15) 3. p (-2.15<z< 2.15) 4. P(z > -1.66) p(-1.66<z<2.85)

Step 2 Transform to the Normal Distribution. Use Z = (x – mean)/σ Normalizing a Problem

 The level of cholesterol in the blood is important because high cholesterol levels may increase the risk of heart disease. The distribution of blood cholesterol levels in a large population of people of the same age and sex s roughly Normal. For 14-year old boys, the mean is µ = 170mg/dl. And the standard deviation is σ = 30 mg/dl. Levels above240 mg/dl may require medical attention. What percentage of 14 year old boys have more than 240 mg/dl?

Cholesterol levels of 14-year old boys who may require medical attention.