Social Media Marketing for Dummies

1,001 Statistics Practice Problems For Dummies

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  • Table of Contents
  • 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
    Adding Proportions to the Mix
    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
    Spotting Misleading 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
    Drawing Conclusions about Hypotheses
    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
    Linking p-Values and t-Tests
    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
    Making Conclusions about Correlations
    Getting More Practice with Scatter Plots and Correlation Changes
    Making More Conclusions about Correlations
  • 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
    Reading a Two-Way Table
    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.