Videos to Accompany Sullivan Statistics

How to Use the Text

Chapter One - Data Collection

  Section 1.1: Introduction to the Practice of Statistics Objectives
1. Define statistics and statistical thinking
2. Explain the process of statistics
3. Distinguish between qualitative and quantitative variables
4. Discrete versus continuous random variables

 

Section 1.2: Observational Studies versus Designed Experiments

 Objectives

1a. Distinguish between an observational study and an experiment
1b. Distinguish between an observational study and an experiment
2. Explain the various types of observational studies

 

Section 1.3: Simple Random Sampling

 Objective

 

 

1. Obtain a Simple Random Sample by hand and Using MINITAB

1. Obtain a Simple Random Sample Using StatCrunch
1. Obtain a Simple Random Sample Using a TI84

 

 

 

  Section 1.4 Other Sampling Techniques Objective
    Other Sampling Techniques
     

 

Section 1.6: The Design of Experiments

Objective

1. Describe the characteristics of an experiment
2. Explain the steps in designing an experiment
3. Explain the completely randomized design
4. Explain the matched-pairs design

Chapter Two - Organizing and Summarizing Data

 

Section 2.1: Organizing and Summarizing Data

 Objectives

 

 

1. Organize qualitative data in tables

2. Construct bar graphs
Bar Graphs and Pie Charts in StatCrunch

 

 

 

 

Section 2.2: Organizing Quantitative Data

Objectives

   

1. Organize discrete data in tables
2. Construct histograms of discrete data
3 Organize continuous data in tables
4. Construct histograms of continuous data by hand and using TI84

4b. Histograms in StatCrunch
5. Draw stem-and-leaf plots
6. Draw dot plots
7.
Identify the shape of a distribution

Chapter Three - Numerically Summarizing Data

 

Section 3.1: Measures of Central Tendency

 Objectives

 

 

1. Determine the arithmetic mean of a variable from raw data by hand
1. Determine the mean of a variable from raw data using StatCrunch

2. Determine the median of a variable from raw data

2. Determine the median of a variable from raw data using StatCrunch
3. Explain what it means for a statistic to be resistant
4. Determine the mode of a variable from raw data

 

 

 

 

Section 3.2: Measures of Dispersion

Objectives

    1. Compute the range of a variable from raw data
2. Compute the standard deviation of a variable from raw data
2a. Use StatCrunch to Find Measures of Central Tendency and Dispersion
4. Use the Empirical Rule to describe data that are bell shaped
     
  Section 3.3: Measures of Central Tendency and Dispersion from Grouped Data 1. Approximate the mean and standard deviation of a variable from grouped data using a TI84
1. Approximate the mean and standard deviation of a variable from grouped data using Excel
     
 

Section 3.4: Measures of Position

Objectives

    1. Determine and interpret z-scores
2. Interpret percentiles
3. Determine and interpret quartiles
3. Determine and interpret quartiles using StatCrunch
4. Determine and interpret the interquartile range
5. Check a set of data for outliers
     
 

Section 3.5: The Five Number Summary and Boxplots

Objectives

    1. Compute the five-number summary
2.
Draw a boxplot by hand
2. Draw a boxplot using StatCrunch
2.  Distribution shape from a boxplot

 

Chapter Four - Describing the Relation between Two Variables

 

 

Section 4.1: Scatter Diagrams and Correlation

 Objectives

 

 

1. Draw and interpret scatter diagrams
2. Understand the properties of the linear correlation coefficient
3.
Compute and interpret the linear correlation coefficient

4. Determine whether a linear relation exists between two variables

5. Explain the difference between correlation and causation

     
 

Section 4.2: Least Squares Regression

 Objectives

 

 

1. Find the least-squares regression line and use the line to make predictions

1. Find least-squares regression line using StatCrunch

2. Interpret the slope and the y-intercept of the least-squares regression line

     
 

Section 4.3: Diagnostics on the Least Squares Regression Line

 Objectives

 

 

1. Compute and interpret the coefficient of determination
2. Perform residual analysis on a regression model
3.
Identify influential observations

     
 

Section 4.4: Contingency Tables and Association

 Objectives

    1. Compute the marginal distribution of a variable
2. Use the conditional distribution to identify association among categorical data
3. Explain Simpson's Paradox

Chapter Five - Probability

 

Section 5.1: Probability Rules

 Objectives

 

 

1. Apply the rules of probabilities
2. Compute and interpret probabilities using the empirical method
3.
Compute and interpret probabilities using the classical method

5. Recognize and interpret subjective probabilities

     
 

Section 5.2: The Addition Rule and Complements

 Objectives

 

 

1. Use the Addition Rule for disjoint events
3.
Compute the probability of an event using the Complement Rule

     
 

Section 5.3: Independence and the Multiplication Rule

 Objectives

 

 

1. Identify independent events

2. Use the Multiplication Rule of independent events

3. Compute at-least probabilities

 

Chapter Six - Discrete Probability Distributions

 

 

Section 6.1: Discrete Random Variables

 Objectives

 

 

1. Distinguish between discrete and continuous random variables

2. Identify discrete probability distributions
3. Construct probability histograms
4. Compute and interpret the mean of a discrete random variable

5.
Interpret the mean of a discrete random variable as an expected value

Finding the mean and standard deviation of a discrete prob distn using Excel

     
 

Section 6.2: The Binomial Probability Distribution

 Objectives

 

 

1. Determine whether a probability experiment is a binomial experiment
2. Compute probabilities of binomial experiments

2a. Computing binomial probabilities Using StatCrunch
3. Compute the mean and standard deviation of a binomial random variable
4
.
Construct binomial probability histograms

Finding unusual results from a binomial experiment

Chapter Seven - The Normal Probability Distribution

 

Section 7.1: Properties of the Normal Distribution

 Objectives

 

 

1. Utilize the uniform probability distribution
2. Graph a normal curve
3. State the properties of the normal curve

4. Explain the role of area in the normal density function

     
 

Section 7.2: Applications of the Normal Distribution

 Objectives

 

 

1. Find and interpret the area under a normal curve by hand and MINITAB

1. Find and interpret the area under a normal curve by hand (using tables)

1. Find and interpret the area under a normal curve using StatCrunch

1. Finding area under normal curve using StatCrunch (another Example)
2.
Find the value of a normal random variable by hand

2. Find the value of a normal random variable by hand (Part II)

2. Find the value of a normal random variable using StatCrunch
2. Find the value of a normal random variable using StatCrunch (another Example)

Using z-sub alpha notation

     
  Section 7.3 Assessing Normality 1.  Normal probability plots

Chapter Eight - Sampling Distributions

 

Section 8.1: Distribution of the Sample Mean

 Objectives

 

 

1a. Describe the distribution of the sample mean for samples obtained from a normal population

1b. Describe the distribution of the sample mean for samples obtained from a normal population

2a. Describe the distribution of the sample mean for samples obtained from a population that is not normal

2b. Describe the distribution of the sample mean for samples obtained from a population that is not normal

     
 

Section 8.2: Distribution of the Sample Proportion

 Objectives

 

 

1a. Describe the sampling distribution of a sample proportion

1b. Describe the sampling distribution of a sample proportion
2a. Compute probabilities of a sample proportion

2b. Compute probabilities of a sample proportion

Chapter Nine - Estimating the Value of a Parameter Using Confidence Intervals

 

Section 9.1: Confidence Intervals about a Population Proportion

 Objectives

 

 

1. Obtain a point estimate for the population proportion
2a. Construct and interpret a confidence interval for the population proportion - The Logic
2b. Construct and interpret a confidence interval for the population proportion by hand and using a TI-84
2c. Construct and interpret a confidence interval for the population proportion by hand
2d.  How to obtain confidence interval for a proportion from StatCrunch
3. Determine the sample size necessary for estimating a population proportion within a specified margin of error
     
 

Section 9.2: Confidence Intervals about a Population Mean

 Objectives

 

 

1. Know the properties of Student's t-distribution

3. Determine t-values

4a. Construct and interpret a confidence interval about a population mean

4b. Construct and interpret a confidence interval about a population mean by hand and using TI-84

4c. How to obtain a confidence interval for the population mean using StatCrunch

5. Find the sample size needed to estimate the population mean within a given margin of error

     
 

Section 9.5: Bootstrapping

 Objectives

   

1. Estimate a parameter using the bootstrap method

Chapter Ten - Hypothesis Tests Regarding a Parameter

 

Section 10.1: The Language of Hypothesis Testing

 Objectives

 

 

1. Determine the null and alternative hypothesis

2. Understand Type I and Type II errors
3. State conclusions to hypothesis tests

 

 

 

 

Section 10.2: Hypothesis Tests for a Population Proportion

Objectives

    1. Explain the Logic of Hypothesis Testing
2a.
Test hypotheses about a population proportion - one-tailed test
2b.
Test hypotheses about a population proportion - two tailed test
2c. Test hypotheses about a population proportion using StatCrunch
     
 

Section 10.3: Hypothesis Tests for a Population Mean

Objective

    1a. Test hypotheses about a mean - large sample using P-value
1b. Test hypotheses about a mean - small sample using P-value
1c. Test hypotheses about a mean using technology
1d. Test hypotheses about a mean large sample using StatCrunch
1e. Test hypotheses about a mean small sample using StatCrunch
2. Understand the difference between statistical significance and practical significance
     

Chapter Eleven - Inferences on Two Samples

 

Section 11.1: Inference about Two Proportions

 Objectives

 

 

1. Distinguish between independent and dependent sampling
2. Test hypotheses regarding two proportions from independent samples (TI-84)
2. Test hypotheses regarding two proportions from independent samples (StatCrunch)
3. Construct and interpret confidence intervals for the difference between two population proportions
4. Test hypotheses regarding two proportions from dependent samples

 

 

 

 

Section 11.2 Inference about Two Means: Dependent Samples

Objectives

    1. Test hypotheses regarding matched-pairs data
2. Construct and interpret confidence intervals regarding matched-pairs data
     
 

Section 11.3 Inferences about Two Means: Independent Samples

Objective

    1. Test hypotheses regarding the difference of two independent means
2. Construct and interpret confidence intervals for the difference between two independent means

Chapter Twelve - Inference on Categorical Data

 

Section 12.1 Goodness-of-Fit Test

 Objectives

 

 

1a. Perform a goodness-of-fit test
1b. Perform a goodness-of-fit test
1c.  Perform a goodness-of-fit test using StatCrunch (Adobe PDF)

 

 

 

 

Section 12.2 Tests for Independence and the Homogeneity of Proportions

Objectives

    1a. Perform a test for independence
1b. Perform a test for independence
1c. Perform a test for independence using StatCrunch (Adobe PDF)
2a. Perform a test for homogeneity of proportions
2b. Perform a test for homogeneity of proportions using StatCrunch (Adobe PDF)

 

Chapter 14 - Inference on the Least-Squares Regression Line

Section 14.1 Testing the Significance of the Least-Squares Regression Model

 Objectives

 

1. State the requirements of the least-squares regression model
2. Compute the standard error of the estimate (and a review of finding the regression model)
3. Verify that the residuals are normally distributed
4. Conduct inference on the slope
5. Construct a confidence interval about the slope of the least-squares regression model

 

 

Section 14.2 Confidence and Predication Intervals

Objectives

  1. Construct confidence intervals for a mean response (using StatCrunch)
2. Construct prediction intervals for an individual response (using StatCrunch)

How to Create a Survey in StatCrunch

Videos by George Woodbury