Course Schedule

Weekly Calendar:

 

Classes 1-5

Unit 5. Probability Distribution Functions and the Normal Distribution

 

Objectives

·        Recognize and understand discrete probability distribution functions, in general.

·        State the properties of a normal probability distribution.

·        Use the Empirical Rule to find probabilities related to normal distributions.

·        Use technology to determine probabilities associated with normal distributions and interpret the probabilities.

·        Find and interpret z-scores related to normal distributions.

 

Reference: Chapters 4 and 6 of Introductory Statistics- OpenStax

Section 4.1. Probability Distribution Function (PDF) for a Discrete Random Variable

Section 6.1. The Standard Normal Distribution

Section 6.2. Using the Normal Distribution

 

Classes 6-9

Unit 6. The Central Limit Theorem

Objectives

·        Apply and interpret the central limit theorem for sample proportions.

·        Apply and interpret the central limit theorem for sample means.

 

Reference: Chapter 7 of Introductory Statistics- OpenStax

Section 7.1. The Central Limit Theorem for Sample Means

Section 7.3. Using the Central Limit Theorem

Reference: See Attachment

Section 7.4 – Population and Sample Proportion

 

Classes 10-21

Unit 7. Confidence Intervals

Objectives

·        Find, interpret and use confidence intervals for a single population mean.

·        Find, interpret and use confidence intervals for a single population proportion.

·        Discriminate between problems applying the normal and the Student’s t distributions.

·        Calculate the sample size required to estimate a population mean and a population proportion given a desired confidence level and margin of error.

·        Use confidence intervals to compare two population means.

·        Use confidence intervals to compare two population proportions.

 

Reference: Chapter 8 of Introductory Statistics- OpenStax

Section 8.1. A Single Population Mean using the Normal Distribution

Section 8.2. A Single Population Mean using the Student t Distribution

Section 8.3. A Population Proportion

Reference: OpenIntro Statistics

5.3.1 Confidence interval for a difference of means

6.2.2 Confidence intervals for p1-p2

 

Classes 22-30

Unit 8. Hypothesis Testing With One Sample

Objectives

·        Conduct and interpret hypothesis tests for a single population mean,  unknown.

·        Conduct and interpret hypothesis tests for a single population proportion.

·        Understand the meaning of a p-value and how it is used.

·        Understand the meaning of significance level and how it is used.

·        Differentiate between Type I and Type II Errors.

 

Reference: Chapter 8 of Introductory Statistics- OpenStax

Section 9.1. Null and Alternative Hypotheses

Section 9.2. Outcomes and the Type I and Type II Errors

Section 9.3. Distribution Needed for Hypothesis Testing

Section 9.4. Rare Events, the Sample, Decision and Conclusion

Section 9.5. Additional Information and Full Hypothesis Test

 

Classes 31-36

Unit 9. Hypothesis Testing With Two Samples

Objectives

·        Classify hypothesis tests by type.

·        Conduct and interpret hypothesis tests for two population means,  unknown.

·        Conduct and interpret hypothesis tests for two population proportions.

 

Reference: Chapter 9 of Introductory Statistics- OpenStax

Section 10.1. Two Population Means with Unknown Standard Deviations

Section 10.3. Comparing Two Independent Population Proportions

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