1,001 Statistics Practice Problems For Dummies

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• Course Details
• Basic Vocabulary
The Problems You'll Work On
What to Watch Out For
Picking Out the Population, Sample, Parameter, and Statistic
Distinguishing Quantitative and Categorical Variables
Getting a Handle on Bias, Variables, and the Mean
Understanding Different Statistics and Data Analysis Terms
Using Statistical Techniques
Working with the Standard Deviation
• Descriptive Statistics
The Problems You'll Work On
What to Watch Out For
Understanding the Mean and the Median
Surveying Standard Deviation and Variance
Employing the Empirical Rule
Measuring Relative Standing with Percentiles
Delving into Data Sets and Descriptive Statistics
• Graphing
The Problems You'll Work On
What to Watch Out For
Interpreting Pie Charts
Considering Three-Dimensional Pie Charts
Interpreting Bar Charts
Introducing Other Graphs
Interpreting Histograms
Digging Deeper into Histograms
Comparing Histograms
Describing the Center of a Distribution
Interpreting Box Plots
Comparing Two Box Plots
Comparing Three Box Plots
Interpreting Time Charts
Getting More Practice with Histograms
• Random Variables and the Binomial Distribution
The Problems You'll Work On
What to Watch Out For
Comparing Discrete and Continuous Random Variables
Understanding the Probability Distribution of a Random Variable
Determining the Mean of a Discrete Random Variable
Digging Deeper into the Mean of a Discrete Random Variable
Working with the Variance of a Discrete Random Variable
Putting Together the Mean, Variance, and Standard Deviation of a Random Variable
Digging Deeper into the Mean, Variance, and Standard Deviation of a Random Variable
Introducing Binomial Random Variables
Figuring Out the Mean, Variance, and Standard Deviation of a Binomial Random Variable
Finding Binomial Probabilities with a Formula
38 Digging Deeper into Binomial Probabilities Using a Formula
Finding Binomial Probabilities with the Binomial Table
Digging Deeper into Binomial Probabilities Using the Binomial Table
Using the Normal Approximation to the Binomial
Digging Deeper into the Normal Approximation to the Binomial
Getting More Practice with Binomial Variables
• The Normal Distribution
The Problems You'll Work On
What to Watch Out For
Defining and Describing the Normal Distribution
Working with z-Scores and x-Values
Digging Deeper into z-Scores and x-Values
45 Writing Probability Notations
Introducing the Z-Table
Finding Probabilities for a Normal Distribution
Digging Deeper into z-Scores and Probabilities
Figuring Out Percentiles for a Normal Distribution
Digging Deeper into Percentiles for a Normal Distribution
Getting More Practice with Percentiles
• The t-Distribution
The Problems You'll Work On
What to Watch Out For
Understanding the t-Distribution and Comparing It to the Z-Distribution
Using the t-Table
Using the t-Distribution to Calculate Confidence Intervals
• Sampling Distributions and the Central Limit Theorem
The Problems You'll Work On
What to Watch Out For
Introducing the Basics of Sampling Distributions
Checking Out Random Variables and Sample Means
Examining Standard Error
Surveying Notation and Symbols
Understanding What Affects Standard Error
Digging Deeper into Standard Error
Connecting Sample Means and Sampling Distributions
Digging Deeper into Sampling Distributions of Sample Means
Looking at the Central Limit Theorem
Getting More Practice with Sample Mean Calculations
Finding Probabilities for Sample Means
Digging Deeper into Probabilities for Sample Means
Figuring Out the Standard Error of the Sample Proportion
Using the Central Limit Theorem for Proportions
Matching z-Scores to Sample Proportions
Finding Approximate Probabilities
Getting More Practice with Probabilities
Digging Deeper into Approximate Probabilities
• Finding Room for a Margin of Error
The Problems You'll Work On
What to Watch Out For
Defining and Calculating Margin of Error
Using the Formula for Margin of Error When Estimating a Population Mean
Finding Appropriate z*-Values for Given Confi dence Levels
Connecting Margin of Error to Sample Size
Getting More Practice with the Formula for Margin of Error
Linking Margin of Error and Population Proportion
• Confidence Intervals: Basics for Single Population Means and Proportions
The Problems You'll Work On
What to Watch Out For
Introducing Confi dence Intervals
Checking Out Components of Confi dence Intervals
Interpreting Confi dence Intervals
Calculating a Confidence Interval for a Population Mean
Determining the Needed Sample Size
Introducing a Population Proportion
Connecting a Population Proportion to a Survey
Calculating a Confidence Interval for a Population Proportion
Digging Deeper into Population Proportions
Getting More Practice with Population Proportions
• Confidence Intervals for Two Population Means and Proportions
The Problems You'll Work On
What to Watch Out For
Working with Confidence Intervals and Population Proportions
Digging Deeper into Confidence Intervals and Population Proportions
Working with Confidence Intervals and Population Means
Making Calculations When Population Standard Deviations Are Known
Digging Deeper into Calculations When Population Standard Deviations Are Known
Working with Unknown Population Standard Deviations and Small Sample Sizes
Digging Deeper into Unknown Population Standard Deviations and Small Sample Sizes
• Claims, Tests, and Conclusions
The Problems You'll Work On
What to Watch Out For
Knowing When to Use a Hypothesis Test
Setting Up Null and Alternative Hypotheses
Finding the Test Statistic and the p-Value
Making Decisions Based on Alpha Levels and Test Statistics
Making Conclusions
Understanding Type I and Type II Errors
• Hypothesis Testing Basics for a Single Population Mean: z-and t-Tests
The Problems You'll Work On
What to Watch Out For
Knowing What You Need to Run a z-Test
Determining Null and Alternative Hypotheses
Introducing p-Values
Calculating the z-Test Statistic
Finding p-Values by Doing a Test of One Population Mean
Digging Deeper into p-Values
Digging Deeper into Conclusions about Hypotheses
Digging Deeper into Null and Alternative Hypotheses
Knowing When to Use a t-Test
Connecting Hypotheses to t-Tests
Calculating Test Statistics
Working with Critical Values of t
Drawing Conclusions from t-Tests
Performing a t-Test for a Single Population Mean
Drawing More Conclusions from t-Tests
• Hypothesis Tests for One Proportion, Two Proportions, or Two Population Means
The Problems You'll Work On
What to Watch Out For
Testing One Population Proportion
Comparing Two Independent Population Means
Digging Deeper into Two Independent Population Means
Getting More Practice with Two Independent Population Means
Using the Paired t-Test
Digging Deeper into the Paired t-Test
Comparing Two Population Proportions
Digging Deeper into Two Population Proportions
• Surveys
The Problems You'll Work On
What to Watch Out For
Planning and Designing Surveys
Selecting Samples and Conducting Surveys
• Correlation
The Problems You'll Work On
131 What to Watch Out For
Interpreting Scatter Plots
Creating Scatter Plots
Understanding What Correlations Indicate
Digging Deeper into Scatter Plots
Digging Deeper into What Correlations Indicate
Calculating Correlations
Noting How Correlations Can Change
Looking at the Properties of Correlations
Digging Deeper into How Correlations Can Change
Getting More Practice with Scatter Plots and Correlation Changes
• Simple Linear Regression
The Problems You'll Work On
What to Watch Out For
Introducing the Regression Line
Knowing the Conditions for Regression
Examining the Equation for Calculating the Least-Squares Regression Line
Finding the Slope and y-Intercept of a Regression Line
Seeing How Variables Can Change in a Regression Line
Finding a Regression Line
Digging Deeper into Finding a Regression Line
Connecting to Correlation and Linear Relationships
Determining Whether Variables Are Candidates for a Linear Regression Analysis
Digging Deeper into Correlations and Linear Relationships
Describing Linear Relationships
Getting More Practice with Finding a Regression Line
Making Predictions
Figuring Out Expected Values and Differences
Digging Deeper into Expected Values and Differences
Digging Deeper into Predictions
Getting More Practice with Expected Values and Differences
• Two-Way Tables and Independence
The Problems You'll Work On
What to Watch Out For
Introducing Variables and Two-Way Tables
Interpreting a Two-Way Table by Using Percentages
Interpreting a Two-Way Table by Using Counts
Connecting Conditional Probabilities to Two-Way Tables
Investigating Independent Variables
Calculating Marginal Probability and More
Adding Joint Probability to the Mix
Figuring Out the Number of Cells in a Two-Way Table
Including Conditional Probability
Digging into Research Designs
Digging Deeper into Two-Way Tables

Practice problems cover such topics as:

• Means, medians, and populations
• Samples, parameters, and percentiles
• Common statistical distributions
• Random variables and standard deviation
• The central limit theorem
• Confidence intervals
• Hypothesis testing basics for a single population mean: z- and t-tests
• Planning and designing surveys
• Simple linear regression
• Two-way tables and independence

Description:

This powerful online resource offers 1,001 practice problems that will help you get a handle on statistics. You can start with some basic problems focused on mean and median, or you can jump right into distributions, confidence intervals, hypothesis tests, correlation, regression, and much more. Every practice problem includes a detailed solution with step-by-step explanations. And by working through each practice problem—categorized as easy, medium, or hard—you can effectively track your performance, see where you need to study, and create customized problem sets to get your skills where they need to be.