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Lecture

# Standard normal distribution, how to use Z tables

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School
Department
Statistics
Course
STAT 301
Professor
Brett Hunter
Semester
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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