SYMBOL TABLE

Topic  Symbol  Meaning 
Descriptive Statistics n sample size 
N population size 
x with bar on top sample mean
mu population mean
s squared sample variance 
sigma squared population variance
s sample standard deviation
sigma population standard deviation
z z score
P subscript k k to the power of t h end exponent percentile
Regression Analysis r  Pearson's Correlation Coefficient 
R squared Coefficient of Determination
y with hat on top equals beta with hat on top subscript 0 plus beta with hat on top subscript 1 x (TI calc:  y equals a plus b x)  Equation of Sample Regression Line 
y equals beta subscript 0 plus beta subscript 1 x Equation of Population Regression Line
beta with hat on top subscript 0 y-intercept of Sample Regression Line 
beta with hat on top subscript 1 slope of Sample Regression Line
Discrete and Continuous Random Variables mu subscript x space end subscript equals space E open parentheses X close parentheses mean of a random variable (expected value)  
sigma subscript x superscript 2 variance of a random variable
sigma subscript x standard deviation of a random variable
X tilde B i n open parentheses n comma p close parentheses X is binomially distributed, with n trials and p = P(success) 
lambda comma space t unit rate of success in a Poisson process taking t units (of time) 
X tilde N open parentheses mu comma sigma close parentheses X is normally distributed, with mean mu and standard deviation sigma
z tilde N open parentheses 0 comma 1 close parentheses z is (standard) normally distributed, with mean 0 and standard deviation 1
Sampling Distributions X with bar on top tilde N open parentheses mu subscript X with bar on top end subscript comma sigma subscript X with bar on top end subscript close parentheses The Sampling Distribution of x with bar on top is normally distributed, with mean mu subscript x with bar on top end subscript and standard deviation sigma subscript x with bar on top end subscript (called the standard error)   
p with hat on top tilde N open parentheses mu subscript p with hat on top space end subscript comma sigma subscript p with hat on top end subscript close parentheses The Sampling Distribution of p with hat on top is normally distributed, with mean mu subscript p with hat on top end subscript and standard deviation sigma subscript p with hat on top end subscript (called the standard error of proportions)   
p with hat on top (or pi with hat on top) sample proportion (of success)
p (or pi) population proportion (of success)
Confidence Intervals alpha comma space alpha over 2 total tail area vs area in one tail
z subscript alpha over 2 end subscript Critical z-value 
t subscript alpha over 2 end subscript Critical t-value
E margin of error
Hypothesis Testing  H subscript 0 space end subscript null hypothesis
H subscript 1 space end subscript open parentheses o r space H subscript a close parentheses alternative hypothesis
alpha P(type I error) 
beta P(type II error) 
Hypothesis Testing - Single Population p subscript 0 (null) hypothisized value for p
mu subscript 0 (null) hypothisized value for mu
chi subscript alpha comma n minus 1 end subscript superscript 2 Chi-Squared critical value with n-1 degrees of freedom (right tailed)
Hypothesis Testing - Two Populations mu subscript d comma space s subscript d comma space n subscript d comma space d with bar on top Paired Study Differences (dependent)