53 Applications of Normal Distributions
Objectives
: Students will be able to:
•
Solve Normal Distribution application problems.
Recall that the
Standard Normal Distribution
has a mean of 0 and standard deviation 1.
Also recall
The Empirical Rule
.
About
% of the area is between
z
= 1 and
z
= 1 (or within 1 standard deviation).
About
% of the area is between
z
= 2 and
z
= 2 (or within 2 standard deviations).
About
% of the area is between
z
= 3 and
z
= 3 (or within 3 standard deviations).
Draw a diagram of
The Empirical Rule
here (p. 78 in the textbook may be helpful):
Use this information to find the following probabilities (do not use table A2).
(1
Pz
<
)
)
)
5
)
(2
<
(3
<
Now use table A2 to find the probabilities. What observation(s) can be made?
Find the following probabilities using table A2 or your TI8x:
(
1.645)
<
.
5
7
>−
(1.96
2.33)
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Introduction to Statistics
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53 Applications of Normal Distributions
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View Full DocumentNonstandard Normal Distributions
Nonstandard normal distributions have mean
0
μ
≠
and standard deviation
1
σ
≠
. Since
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 Spring '07
 Stone
 Statistics, Empirical Rule, Normal Distribution, Standard Deviation, standard normal distribution, normal distributions, table a2

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