# Ch 9: Statistical Estimation

### About This Chapter

## Statistical Estimation - Chapter Summary and Learning Objectives

Learn how to perform statistical estimations with the engaging video lessons in this chapter. As you work through this study guide, you'll learn the formulas for calculating and interpreting confidence intervals, the differences between biased and unbiased estimators and how to apply t distribution.

Lessons are short and focus on one concept at a time, so you won't have any trouble picking up new material. Each lesson also comes with a full video transcript that you can use to follow along or help you review. By the end of this chapter, you will be able to do the following:

- Differentiate between point and interval estimations
- Find the sample size and confidence intervals for sample means
- Understand and apply t distribution
- Find confidence intervals for proportions, matched pair means and independent sample means

Video | Objective |
---|---|

Point & Interval Estimations: Definition, Differences & Quiz | Learn about and compare point and interval estimations. |

Calculating & Interpreting Confidence Intervals for Means: Formula & Examples | Discover the formula for identifying confidence intervals for sample means. |

Determining the Sample Size to Estimate Confidence Intervals: Definition, Lesson & Quiz | Review how to calculate sample size for in estimating confidence intervals. |

Student t Distribution: Definition, Example & Quiz | Examine the properties of t distribution. |

Using the t Distribution to Find Confidence Intervals: Lesson & Quiz | Look into how to use t distribution for finding confidence intervals. |

Biased & Unbiased Estimators: Definition, Differences & Quiz | Compare biased and unbiased estimators. |

Finding Confidence Intervals for Proportions: Formula, Example & Quiz | Learn how to find confidence intervals when working with proportions. |

Confidence Intervals for 2 Means Matched Pairs | Discuss how to find a confidence interval for means of matched pairs. |

Confidence Intervals for 2 Means Independent Samples | Discover ways to find a confidence interval for difference in means between unequal samples. |

Confidence Intervals for 2 Means Independent Samples with Equal Variances | Look at how to find a confidence interval for mean difference in samples with equal variances. |

Confidence Intervals for 2 Proportions | Explore confidence intervals for proportions. |

### 1. Point & Interval Estimations: Definition & Differences

Statisticians have to use estimation to describe and infer information from gathered data. In this lesson, you will learn about the two types of estimation used: point and interval estimation.

### 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.

### 3. Finding Confidence Intervals with the Normal Distribution

In this lesson, you're going to learn how to construct a confidence interval when the population's standard deviation is known and the population is normally distributed.

### 4. 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.

### 5. Student t Distribution: Definition & Example

In this lesson, you're going to learn about the t-distribution, t-curves, their important properties, and differences from the standard normal distribution as well as how to find the value of t.

### 6. Using the t Distribution to Find Confidence Intervals

In this lesson, you're going to learn how we find confidence intervals for normally distributed populations where the population standard deviation is not known. Work through the sample, then test your understanding with a brief quiz.

### 7. 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.

### 8. Finding Confidence Intervals for Proportions: Formula & Example

In this lesson, you're going learn how to figure out the margin of error, confidence interval, and point estimate for a population proportion with large sample sizes.

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### Other Chapters

Other chapters within the Statistics 101: Principles of Statistics course