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Lecture

# Standard normal distribution, how to use Z tables

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Colorado State University

Statistics

STAT 301

Brett Hunter

Fall

Description

9 September
Using the standard normal tables
Also called the z-tables
Standard Normal Distribution
This is a particular normal distribution that has mean μ = 0 and variance σ = 1, denoted
N(0, 1)
A variable that follows a standard normal distribution is usually denoted Z
Areas for the standard normal distribution are listed in Table 2 of Appendix B, and
in back cover (will post on RamCT)
How to use the tables
Say that we want to find the probability that a random variable Z is smaller than some
number Z*, i.e., P(Z ≤ Z*)
Let’s assume Z* = 1.86. So we want to find P(Z ≤ 1.86)
Find 1.8 on Z* column
Find 0.06 in Z* row
P(Z ≤ 1.86) = 0.9686
P(Z ≥ 1.86) = 1

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