Index Index
\(\chi^2\)-distribution, Definition
addition rule (counting), Theorem
addition rule (probability), Theorem
alternative hypothesis, Definition
ANOVA test, Definition. See also hypothesis test
area principle (graphs), Definition
area principle (probabilty), Principle
bar graph, Definition
Bayes' theorem, Theorem
Bernoulli trial, Definition
bias, Definition
binomial distribution, Definition
5% rule, Principle
formula, Theorem
mean and standard deviation of, Theorem
normal approximation, Theorem
continuity correction, Definition
criteria for, Principle
binomial process, Definition
box-plot, Definition
causation, Definition
census, Definition
central limit theorem, Theorem
criteria for use, Principle
Chebyshev's inequality, Theorem
class width, Definition
combination, Theorem
complement, Definition
complement rule, Theorem
conditional probability, Definition
confidence interval, Definition
confidence level, Definition
critical value, Definition
difference of means, Theorem
margin of error, Theorem
point estimator, Theorem
sample size, Theorem
difference of proportions, Theorem
margin of error, Theorem
point estimator, Theorem
sample size, Theorem
margin of error, Definition
one-sided, Definition
single mean, Theorem
margin of error, Theorem
point estimator, Theorem
sample size, Theorem
single proportion, Theorem
margin of error, Theorem
point estimator, Theorem
sample size, Theorem
small-sample difference of means, Theorem
pooled variance, Definition
small-sample mean, Theorem
confidence level, Definition
contingency table, Definition
marginal distribution, Definition
continuity correction, Definition
continuous variable, Definition
convenience sample, Definition
correlation, Definition
counting rules
addition, Theorem
combination, Theorem
combining, Principle
inclusion/exclusion, Theorem
multiplication, Theorem
permutation, Theorem
critical value, Definition
data, Definition
bivariate, Definition
multivariate, Definition
univariate, Definition
density curve, Definition
properties of, Principle
deterministic, Paragraph
deterministic process, Definition
difference of means
confidence interval, Theorem (see also confidence interval)
hypothesis test, Theorem (see also hypothesis test)
small-sample confidence interval, Theorem (see also confidence interval)
small-sample hypothesis test, Theorem (see also hypothesis test)
difference of proportions
confidence interval, Theorem (see also confidence interval)
hypothesis test, Theorem (see also hypothesis test)
discrete variable, Definition
empirical rule, Definition
estimation
confidence interval, Definition (see also confidence interval)
estimator, Definition (see also estimator)
lower confidence bound, Definition
upper confidence bound, Definition
estimator, Definition
interval, Definition
point, Definition
standard error, Definition
unbiased, Definition
event, Definition
expanded stem-and-leaf plot, Definition
expected counts (contingency tables), Theorem
expected counts (goodness-of-fit), Theorem
expected value, Definition
experiment, Definition
experimental probability, Definition
f-distribution, Definition
factor, Definition
factorial, Definition
five-number summary, Definition
frequency distribution, Definition
class, Definition
class width, Definition
upper class limit, Definition
frequency table, Definition
general addition rule (probability), Theorem
goodness-of-fit test, Theorem. See also hypothesis test
graphs
area principle, Definition
bar graph, Definition
box-plot, Definition
expanded stem-and-leaf plot, Definition
histogram, Definition (see also histogram)
probability histogram, Definition
pie graph, Definition
relative frequency bar graph, Definition
scatter plot, Definition
stacked bar graph, Definition
stem-and-leaf plot, Definition
time series, Definition
histogram, Definition
bimodal, Definition
center, Definition
mode, Definition
mound-shaped, Definition
multimodal, Definition
skewed, Definition
symmetric, Definition
uniform, Definition
unimodal, Definition
hypothesis test, Definition
ANOVA, Definition
ANOVA table, Definition
hypotheses, Principle
critical value, Definition
difference of means
hypotheses, Principle
test statistic, Theorem
difference of proportions
hypotheses, Principle
pooled proportion, Definition
test statistic, Theorem
goodness-of-fit
degrees of freedom, Theorem
expected counts, Theorem
hypotheses, Principle
observed counts, Definition
test statistic, Theorem
hypothesis, Definition
left-tailed test, Definition
p-value, Definition
right-tailed test, Definition
significance level, Definition
single mean
hypotheses, Principle
test statistic, Theorem
single proportion
hypotheses, Principle
test statistic, Theorem
small-sample difference of means
pooled variance, Definition
test statistic, Theorem
small-sample mean, Theorem
test of homogeneity
degrees of freedom, Theorem
expected counts, Theorem
hypotheses, Definition
observed counts, Definition
test statistic, Theorem
test of independence
degrees of freedom, Theorem
expected counts, Theorem
hypotheses, Definition
observed counts, Definition
test statistic, Theorem
test statistic, Definition
two-tailed test, Definition
type I error, Definition
type II error, Definition
inclusion/exclusion rule, Theorem
independence (test of), Theorem
independent events, Definition
interquartile range (IQR), Definition
intersection, Definition
interval estimator, Definition
leading question, Definition
left-tailed test, Definition
lower confidence bound, Definition
lurking variable, Definition
margin of error, Definition
marginal distribution, Definition
mean, Definition
measure (probability), Definition
measures of center
mean, Definition
median, Definition
midrange, Definition
mode, Definition
measures of relative standing
five-number summary, Definition
percentile, Definition
quartiles, Definition
z-score, Definition
measures of spread
interquartile range (IQR), Definition
range, Definition
standard deviation, Definition
estimate, Principle
variance, Definition
median, Definition
midrange, Definition
mode, Definition
multinomial process, Definition
multiplication rule (counting), Theorem
multiplication rule (probability), Theorem
mutually exclusive, Definition
normal distribution, Definition
central limit theorem, Theorem (see also central limit theorem)
properties of, Theorem
standard normal distribution, Definition
properties of, Theorem
z-score formula, Principle
null hypothesis, Definition
observational study, Definition
observed counts, Definition
one-sided confidence interval, Definition
outlier, Definition
p-value, Definition
parameter, Definition
percentile, Definition
permutation, Theorem
pie graph, Definition
point estimator, Definition
pooled proportion, Definition
pooled variance, Definition
population, Definition
probability
conditional, Definition
density curve, Definition (see also density curve)
distribution, Definition (see also probability distribution)
distribution families
\(\chi^2\)-distribution, Definition
Bernoulli trial, Definition
binomial, Definition (see also binomial distribution)
continuous uniform, Definition
discrete uniform, Definition (see also uniform distribution (discrete))
f-distribution, Definition
normal, Definition (see also normal distribution)
t-distribution, Definition
event, Definition
formula
addition rule, Theorem
basic rules, Theorem
Bayes' theorem, Theorem
complement rule, Theorem
conditional formula, Theorem
general addition rule, Theorem
independence test, Theorem
multiplication rule, Theorem
independence, Definition
measure, Definition
random variable, Definition
expected value, Definition
standard deviation, Definition
variance, Definition
sample space, Definition
types
experimental, Definition
subjective, Paragraph
theoretical, Definition
probability distribution, Definition
expected value, Definition
histogram, Definition
standard deviation, Definition
variance, Definition
probability histogram, Definition
pseudo-random process, Definition
random number table, Definition
random process, Definition
random variable, Definition
range, Definition
relative frequency bar graph, Definition
relative frequency table, Definition
right-tailed test, Definition
sample, Definition
cluster sample, Definition
convenience sample, Definition
simple random sample, Definition
stratified sample, Definition
systematic sample, Definition
voluntary response sample, Definition
sample space, Definition
sampling distribution
central limit theorem, Theorem (see also central limit theorem)
mean, Theorem
proportion, Theorem
sample proportion, Definition
scatter plot, Definition
sets
complement, Definition
intersection, Definition
mutually exclusive, Definition
subset, Paragraph
union, Definition
universal set, Definition
Venn diagram, Definition
significance level, Definition
simulation, Definition
cautions, Principle
component, Definition
outcome, Definition
response variable, Definition
simulation steps, Algorithm
trial, Definition
single mean
confidence interval, Theorem (see also confidence interval)
hypothesis test, Theorem (see also hypothesis test)
small-sample confidence interval, Theorem
small-sample hypothesis test, Theorem (see also hypothesis test)
single proportion
confidence interval, Theorem (see also confidence interval)
hypothesis test, Theorem (see also hypothesis test)
stacked bar graph, Definition
standard deviation, Definition
standard deviation (random variable), Definition
standard error (point estimate), Definition
standard normal distribution, Definition
statistic, Definition
stem-and-leaf plot, Definition
study types
experiment, Definition
factor, Definition
treatment, Definition
observational, Definition
t-distribution, Definition
test of homogeneity, Definition. See also hypothesis test
test of independence, Definition. See also hypothesis test
test statistic, Definition
theoretical probability, Definition
time series, Definition
treatment, Definition
tree diagram, Definition
two-tailed test, Definition
type I error, Definition
type II error, Definition
unbiased estimator, Definition
uniform distribution (continuous), Definition
uniform distribution (discrete), Definition
mean and standard deviation of, Theorem
union, Definition
universal set, Definition
upper confidence bound, Definition
variable, Definition
lurking, Definition
qualitative, Definition
quantitative, Definition
continuous, Definition
discrete, Definition
variance, Definition
variance (random variable), Definition
Venn diagram, Definition Subsection
voluntary response sample, Definition
z-score, Definition