Random Number Generator | Random Number Table - Stat TrekUse the Random Number Generator to create a list of random numbers, based
on your specifications. Create a random number table of up to ... What are random numbers? - What is a random number generator?

Regression Slope Test - Stat TrekTest method. Use a linear regression t-test (described in the next section) to
determine whether the slope of the regression line differs significantly from zero.

Poisson Distribution - Stat TrekA Poisson distribution is the probability distribution that results from a Poisson ...
The following notation is helpful, when we talk about the Poisson distribution .

Confidence Level : Definition - Stat TrekDefinition of confidence level , from the Stat Trek dictionary of statistical terms and
concepts. This statistics glossary includes definitions of all technical terms used ...

Regression Slope : Confidence Interval - Stat TrekThis lesson describes how to construct a confidence interval around the slope of
a regression line. We focus on the equation for simple linear regression , which ...

F Distribution Calculator - Stat Trek? A probability is a number expressing the chances that a specific event will
occur. This number can take on any value ...

Element : Definition - Stat TrekDefinition of element , from the Stat Trek dictionary of statistical terms and
concepts. This statistics glossary includes definitions of all technical terms used
on Stat ...

Survey Bias - Stat TrekDescribes two sources of bias in survey sampling: unrepresentative samples and
... The survey relied on a convenience sample, drawn from telephone ...

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T Distribution Calculator - Stat TrekT distribution calculator finds cumulative probability and t scores. Fast, easy ...
text boxes. Click the Calculate button to compute a value for the blank text box. Which random variable should I ... - What are degrees of freedom?

Chi-Square Goodness of Fit Test - Stat TrekThis lesson describes when and how to conduct a chi-square goodness of fit test.
Key points are illustrated by a sample problem with solution.

Matrix Rank - Stat TrekThis lesson defines matrix rank and shows how to find the rank of a matrix .
Includes problems with solutions to illustrate key points.

Standard Error - Stat TrekThe standard error is an estimate of the standard deviation of a statistic. This
lesson shows how to compute the standard error , based on sample data.

Linear Regression - Stat TrekFor each value of X, the probability distribution of Y has the same standard
deviation σ. .... The standard error about the regression line (often denoted by SE
) is a ...

Bayes ' Theorem - Stat TrekBayes ' theorem (also known as Bayes' rule) is a useful tool for calculating ... This
section presents an example that demonstrates how Bayes ' theorem can be ...

Random Number Generator - Stat TrekUse the Random Number Generator to create a list of random numbers , ...
numbers or repeats a particular sequence of random numbers .

Chi - Square Test of Independence - Stat TrekThis lesson describes when and how to conduct a chi - square test of
independence. Key points are illustrated by a sample problem with solution.

Sample Size Calculation: Simple Random Sample - Stat TrekSample size calculation with simple random sampling. How to find smallest
sample size that provides desired precision. Sample problem illustrates key
points.

Negative Binomial Distribution - Stat TrekIn this lesson, we cover the negative binomial distribution and the geometric
distribution. As we will see, the geometric distribution is a special case of the ...

Confidence Interval - Stat TrekThis lesson explains what a confidence interval is and explains how to construct
and interpret confidence intervals . Includes sample problem with solution.

Difference in Means - Stat TrekHow to construct a confidence interval for the difference between two sample
means. Step-by-step instructions, including two sample problems with solutions.

one - sample t - test : Definition - Stat TrekDefinition of one - sample t - test , from the Stat Trek dictionary of statistical terms
and concepts. This statistics glossary includes definitions of all technical terms ...

Margin of Error - Stat TrekIn a confidence interval, the range of values above and below the sample statistic
is called the margin of error . For example, suppose we wanted to know the ...

Statistics , Probability, and Survey SamplingFree tutorials cover statistics , probability, and matrix algebra. ... This web site
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Stratified Random Sampling - Stat TrekDescribes stratified random sampling as sampling method. Covers proportionate
and disproportionate sampling. Lists pros and cons versus simple random ...

Experimental Design - Stat TrekIntroduces experimental design – what it is and why it is useful in research.
Describes three common ... Experimental design in statistics : Video lesson. The
term ...

Experiment - Stat TrekIn an experiment , a researcher manipulates one or more variables, while holding
all other variables constant. By noting how the manipulated variables affect a ...

Hypothesis Tests - Stat TrekThis assumption may or may not be true. Hypothesis testing refers to the formal
procedures used by statisticians to accept or reject statistical hypotheses.

Graphing Calculators - Stat TrekRecommended graphing calculators for AP statistics and calculus. ... It also adds
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Matrix Algebra Tutorial - Stat TrekDetermine matrix rank (i.e., distinguish singular from non-singular matrices). Find
the determinant and inverse for any square matrix. Use matrix algebra to solve ...

Statistical Power - Stat TrekHow to Find the Power of a Statistical Test ... We enter the following values into
the calculator : value = 294.45; mean = 290; and standard deviation = 2.83.

Statistics Notation - Stat TrekThis web page describes how symbols are used on the Stat Trek web site to
represent ... μ refers to a population mean; and x, to a sample mean . σ refers to
the ...

Chi - Square Distribution - Stat TrekThe distribution of the chi-square statistic is called the chi - square distribution . In
this lesson, we learn to compute the chi-square statistic and find the probability ...

Standard Deviation : Definition - Stat TrekDefinition of standard deviation , from the Stat Trek dictionary of statistical terms
and concepts. This statistics glossary includes definitions of all technical terms ...

This web site provides training and tools to help you solve statistics problems ...
AP and Advanced Placement Program are registered trademarks of the College ...

Statistics , Probability , and Survey SamplingFree tutorials cover statistics , probability , and matrix algebra. ... This web site
provides training and tools to help you solve statistics problems quickly, easily,
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Simple linear regression. How to define least - squares regression line . How to
find coefficient of determination. Includes video lesson on regression analysis.

Hypothesis Test for Mean - Stat TrekHow to conduct a hypothesis test for a mean value, using a one-sample t- test .
The test procedure is illustrated with examples for one- and two-tailed tests .

Poisson Distribution Calculator - Stat TrekThe Poisson Calculator makes it easy to compute individual and cumulative
Poisson probabilities. For help in using the .... Analyzing Business Data with
Excel

Statistics Problems With Solutions - Stat TrekProbability and statistics problems. Completely solved in ... Based on AP statistics
exam questions . ... The correct answer is B. The solution involves four steps.

Power of Hypothesis Test - Stat TrekThe power of a hypothesis test is the probability of not committing a Type II error.
Power is affected by significance level, sample size, and effect size.

Statistics Formulas - Stat TrekTrek tutorials. Each formula links to a web page that explains how to use the
formula . .... Variance of a linear transformation = Var(Y) = a * Var(X).
Standardized ...

Binomial Distribution - Stat TrekA binomial experiment (also known as a Bernoulli trial) is a statistical .... 7 games
? Assume that the teams are evenly matched. Solution : This is a very tricky ...

Simple linear regression . How to define least-squares regression line . How to
find coefficient of determination. Includes video lesson on regression analysis.

This web page describes how symbols are used on the Stat Trek web site to
represent ... μ refers to a population mean. σ refers to the standard deviation of a
...

Probability and Statistics - Stat TrekWhat is probability? Describes how to interpret probability. Shows how to
compute probability . Includes sample problem with solution plus free, video
lesson.

Measurement Scales - Stat TrekMeasurement scales are used to categorize and/or quantify variables. This
lesson describes four scales of measurement used in statistical analysis: nominal
, ...

AP Statistics Practice Test - Stat TrekPractice test for multiple-choice section of the Advanced Placement (AP)
Statistics exam . Includes 40 questions , each with clear solutions.

How to Compare Data Sets - Stat TrekHow to compare two or more data sets using graphical displays: dotplots, double
bar charts, back-to-back stemplots, parallel boxplots, etc. Includes free video.

Statistics and ProbabilityThis web site provides training and tools to help you solve statistics problems
quickly, easily, and accurately - without having to ask anyone for help .

Identify a sample statistic . Choose the statistic (e.g, sample mean, sample
proportion) that you will use to estimate a population .... Statistics II for Dummies

Discrete vs Continuous - Stat TrekDiscrete probability distributions vs continuous probability distributions. Discrete
random ... Some examples will clarify the difference between discrete and
continuous variables. Suppose the fire ... Counting data points. ▻ Probability
laws.

Variables in Statistics - Stat TrekCovers use of variables in statistics - categorical vs. quantitative, discrete vs.
continuous, univariate vs. bivariate data. Includes free video lesson.

Random Variable Combinations - Stat TrekSometimes, it is necessary to add or subtract random variables. When this occurs
... Sums and Differences of Independent Random Variables : Effect on Variance.

How to Test Hypotheses - Stat TrekHow to test hypotheses using four steps: state hypothesis, formulate analysis
plan, analyze ... Test statistic = (Statistic - Parameter ) / (Standard error of statistic).

Unless the population size is very large, you need to specify the size of the
population ( N ). Given these inputs, the following formulas find the smallest
sample ...

Influential Points in Regression - Stat TrekFor example, when the data set is very large, a single outlier may not have a big
effect on the regression equation. AP Statistics Tutorial . Exploring Data.

This assumption may or may not be true. Hypothesis testing refers to the formal
procedures used by statisticians to accept or reject statistical hypotheses .

Best Sampling Method - Stat TrekThe effectiveness of a sampling method depends on many factors. Because
these factors interact in complex ways, the " best " sampling method is seldom ...

In the following formulas, X and Y are random variables, and a and b are
constants. Expected .... aX + b. Variance of a linear transformation = Var(Y) = a *
Var ( X ).

This lesson explains what a confidence interval is and explains how to construct
and interpret ... Often, the margin of error is not given; you must calculate it.

Matrix Notation - Stat TrekGeneral Matrices . Bold-face, capital letters refer to matrices , italic capital letters
refer to matrix elements, and subscripts reveal matrix dimension. For example,.