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Ch 39: Inference About a Mean

About This Chapter

Use the following video lessons and quizzes to help you understand the uses of confidence intervals and hypothesis testing. Learn how to apply the central limit theorem and differentiate between biased and unbiased estimators.

Inference About a Mean - Chapter Summary

Begin this chapter with a lesson showing you how the central limit theorem can be used to determine the probability of a sample mean. You can also find out how to calculate and interpret confidence intervals for expected values and estimate confidence intervals by determining the sample size. You'll learn the differences between biased and unbiased estimators as well.

Additional topics of instruction cover the uses of hypothesis testing to evaluate inferences made about data collected from observational studies or experiments. You can also study the impact of effect size on this process. Wrap up your study with lessons that illustrate the differences between type I and type II errors by describing their relationship to the null hypothesis. This chapter is designed to familiarize you with the following:

  • The central limit theorem
  • Confidence intervals
  • Biased and unbiased estimators
  • Hypothesis testing

Let our informed and experienced instructors help you explore methods used to analyze statistical data with the lessons included in this chapter. The short instructional videos feature tags you can use to navigate between the main ideas discussed by our instructors. There are also matching transcripts if you'd prefer to access content in a different format. Both materials can prepare you for the multiple-choice questions included at the end of each lesson. These might prove useful if you're looking to confirm your understanding of the lesson topics or chart your progress through the course.

7 Lessons in Chapter 39: Inference About a Mean
Test your knowledge with a 30-question chapter practice test
Finding Probabilities About Means Using the Central Limit Theorem

1. Finding Probabilities About Means Using the Central Limit Theorem

The central limit theorem provides us with a very powerful approach for solving problems involving large amount of data. In this lesson, we'll explore how this is done as well as conditions that make this theorem valid.

Calculating Confidence Intervals, Levels & Coefficients

2. Calculating Confidence Intervals, Levels & Coefficients

In this lesson, you're going to learn about confidence intervals, confidence levels, and coefficients, and how they relate to point estimates and interval estimates.

Determining the Sample Size to Estimate Confidence Intervals: Definition & Process

3. Determining the Sample Size to Estimate Confidence Intervals: Definition & Process

In this lesson, you will learn how to determine the most appropriate sample size to find the confidence interval we need using a specific case example.

Biased & Unbiased Estimators: Definition & Differences

4. Biased & Unbiased Estimators: Definition & Differences

When dealing with statistics, you've probably heard about why it is wise to avoid biased estimators. However, as this lesson proves, sometimes a biased estimator can be pretty useful—if you know how to use it.

What is Hypothesis Testing? - Definition, Steps & Examples

5. What is Hypothesis Testing? - Definition, Steps & Examples

A proper hypothesis test consists of four steps. After watching this video lesson, you'll understand how to create a hypothesis test to help you confirm or disprove an assumption.

Conducting Hypothesis Testing for a Mean: Process & Examples

6. Conducting Hypothesis Testing for a Mean: Process & Examples

Read this lesson to learn how you can use hypothesis testing to test for a mean. Learn what conditions need to be met before you can use hypothesis testing to find the average for the test subject.

The Relationship Between Confidence Intervals & Hypothesis Tests

7. The Relationship Between Confidence Intervals & Hypothesis Tests

Quantifying population information by testing a small sample is a marvelous mathematical invention. In this lesson, we explore the relationship between confidence intervals and hypothesis tests.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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