- Subject:
- Statistics and Probability
- Material Type:
- Module
- Level:
- Community College / Lower Division, College / Upper Division
- Provider:
- Ohio Open Ed Collaborative
- Tags:
- License:
- Creative Commons Attribution Non-Commercial
- Language:
- English
- Media Formats:
- Audio
Supplemental Notes
Chapter 7 - Exercises
Chapter 7 - Lab
Class Worksheet - Central Limit Theorem
Class Worksheet - Central Limit Theorem
Key Terms
Supplemental Problems on CLT for Sample Proportion
Sampling Distributions and Central Limit Theorem
Overview
Ideally a census will be able to provide answers to many questions about a population. However, a census is impractical in many ways. So we need to rely on information drawn from a carefully chosen random sample of individuals/objects from the population. Such information may include sample statistics - proportion, mean, median, standard deviation, correlation, distribution, etc. The downside of the sampling approach is that the information we get is bound to change when we take a different sample. Then how can we ensure that we can make reliable inference about the population using only the sample information we got from our sample? The answer lies in the sampling distribution of the statistic which allows us, under certain assumptions, to make predictions about its values. These predictions, in turn, can be compared with the actual values obtained in the sample.
Learning Objectives:
- Sampling Distribution of the Sample Mean
- Sampling Distribution of the Sample Proportion
- Central Limit Theorem, its assumptions and conclusion.
Textbook Material -
- Chapter 7 – The Central Limit Theorem – Pages 395 – 401, 405 – 413
Suggested Exercises – Chapter 7 – Odds 61 – 71, 76 – 93
Chapter Exercises
Suggested Exercises – Chapter 7 – Odds 61 – 71, 76 – 93
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Class Worksheet
Insert class worksheet here
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Lab
Insert lab here
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Key Terms
Insert key terms here
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Course Video Resources
- Author’s Video
- Khan Academy Videos
- Central Limit Theorem for sample mean
- Central Limit Theorem for sample proportion
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