Confidence intervals and sample sizes estimations
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Calculating confidence intervals and determining sample sizes is an important topic of statistical inference. This is one of the most practical areas of statistics that allows the student to learn the concepts and apply them to real world situations.
This course explains the concepts in an easy to understand way. This is reinforced with fully solved and explained problems to highlight all the important details the student needs to pay attention to. In addition, the student will have the opportunity to take selected quizzes that serve as check points to determine if each concept is well understood.
The course includes tables of the standard normal distribution, the Student t distribution and the Chi square distribution. In addition, you will be given the opportunity to take a final test to check your understanding of the overall material.
It may take between two weeks to a month to finish this material depending on how much time is devoted to the course as well as the student prior preparation. It is important to realize that this course prerequisite is the knowledge of the Normal distribution. The student can achieve that requirement by taking my course "Learn the Normal or Gaussian distribution" first.
This topic of confidence intervals and determining sample sizes is a required section for students learning statistics. The material is also very useful to professionals in many fields who want to apply statistical concepts in their daily work.
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Section 1: What we will learn  

Lecture 1  08:03  
Information about the course: Confidence intervals and Determining Sample Sizes 

Section 2: Course documents  
Lecture 2  1 page  
Table of the standard normal table with the negative Z values 

Lecture 3  1 page  
This table shows the Z the values corresponding to a given area to the left of those values. 

Lecture 4 
Table of Student t distribution

1 page  
Lecture 5  5 pages  
Table of the chi square distribution part 1. 

Lecture 6  5 pages  
This test covers essential sections of the course and is designed to check for mastery of the course content. 

Section 3: Confidence interval concepts  
Lecture 7  03:42  
This lectures covers basic concepts related to point estimations and their desired properties 

Lecture 8  03:37  
This lecture talks about the basic concepts of confidence intervals or interval estimates and explains confidence levels. It also provides a thorough explanation of what the confidence levels mean and how to interpret them. 

Lecture 9  05:47  
This flowchart helps to determine when we can use the normal distribution or the Student t distribution for constructing the confidence intervals for the population means. 

Section 4: Confidence interval for the population mean using the Normal distribution  
Lecture 10  04:44  
In this video, we talk about the effect of sample size and confidence level on the width of the confidence interval. We also talk about the effect of increasing or decreasing the margin of error on the confidence interval. 

Lecture 11  03:20  
In this lecture we cover the confidence interval for the population mean when the sample size is large or when the sample size is small and the population standard deviation is known. In those two cases, we use the normal distribution in the calculation of the confidence interval critical values. 

Lecture 12  04:22  
In this lecture, we show how to obtain the critical values (Z sub alpha over 2) that are used for computing the confidence intervals. 

Lecture 13  06:46  
In this video, we show examples about computing the confidence interval for the population mean when the sample size selected is large. In this case, we use the critical value based on the normal distribution. 

Quiz 1  2 questions  
In this quiz, you will compute a confidence interval for the population when the selected sample size is large 

Quiz 2  1 question  
In this quiz, we you are asked to calculate a confidence interval of the population mean. 

Section 5: Confidence interval about the population mean using the Student t distribution  
Lecture 14  05:45  
In this lecture, we talk about the confidence interval for the population mean when the sample size is small (n < 30), the population standard is small and we are sampling from a population that is normally or approximately normally distributed. We talk about the Student t distribution and shows how it looks like compare to the normal distribution. 

Lecture 15  04:13  
In this lecture, we show how the confidence interval for the population mean when the sample size is small and the population standard deviation sigma is unknown is calculated. 

Lecture 16  07:33  
In this lecture, we illustrate how to compute confidence intervals using the Student t distribution. Practical examples are given to reinforce the understanding of the Student t distribution. 

Quiz 3  1 question  
The purpose of this quiz is calculate a confidence interval for the population mean when the sample size is small, the population standard deviation is unknown and the population is assumed to be approximately normally distributed. 

Quiz 4  1 question  
In this quiz, you will compute a confidence interval for the population mean when the sample size is small. 

Quiz 5  1 question  
In this quiz, you are asked to calculate a confidence interval about the population mean. 

Quiz 6  1 question  
Quiz about using the student t distribution to ompute confidence intervals 

Section 6: Confidence Interval about a population proportion or percent p  
Lecture 17  03:03  
In this lecture, we talk about how to estimate a population proportion p with the sample proportion. We discuss the conditions that must be met for construction a confidence interval about the population proportion 

Lecture 18  02:42  
In this lecture we discuss the formula for the confidence interval for the population proportion or percent p. 

Lecture 19  07:45  
In this lecture, we show practical examples for computing the confidence interval of the population proportion or percent. 

Quiz 7  1 question  
In this quiz, you are asked to compute a confidence interval of the population proportion 

Quiz 8  1 question  
In this quiz, you are asked to compute a confidence interval of a population proportion 

Quiz 9  1 question  
In this quiz, you are asked to compute a confidence interval of the population proportion 

Section 7: Determining sample sizes when estimating a population mean  
Lecture 20  03:25  
In this lecture, we talk about the formula for determining the sample size when the purpose of the study is to estimate a population mean. 

Lecture 21  07:26  
In this video, we show practical examples about how to find sample sizes when the purpose is to estimate a population mean. 

Quiz 10  1 question  
In this quiz, we will calculate the sample size needed when the purpose of the study is to estimate a population mean. 

Quiz 11  1 question  
In this quiz, you will compute the sample size needed when the purpose of the study is to estimate a population mean. 

Quiz 12  1 question  
In this quiz, you will calculate the sample size needed to estimate a population mean 

Quiz 13  1 question  
In this quiz, you are asked to calculate the sample size needed when estimating a population mean 

Section 8: Determining sample sizes when estimating a population proportion  
Lecture 22  04:30  
In this lecture, we discuss the formula for determining sample sizes when we want to estimate a population proportion. 

Lecture 23  05:00  
In this lecture, we show practical examples about determining sample sizes when we are estimating a population proportion. 

Quiz 14  1 question  
The purpose of this quiz is to determine the sample size needed to estimate a population proportion. 

Quiz 15  1 question  
In this quiz, we need to calculate the sample size needed to estimate a population proportion 

Quiz 16  1 question  
In this quiz, you will calculate the required sample size needed when we are estimating a population proportion 

Quiz 17  1 question  
In this quiz, you are asked to determine the sample size needed when we are estimating a population proportion. 

Section 9: Confidence interval for the population variance and standard deviation  
Lecture 24  02:44  
In this lecture, we talk about the chi square distribution. In the end, we cover the point estimates about the population variance and standard deviation. 

Lecture 25  01:25  
In this lecture, we discuss the properties of the chisquare distribution. 

Lecture 26  05:05  
In this lecture, we show to read the critical values of the chi square distribution for the confidence interval of the population variance and standard deviation. These tables values (critical values) are essential in the calculation of the confidence interval for the population mean and standard deviation. 

Lecture 27  01:35  
In this lecture, we talk about the formulas for calculating the confidence interval for a population variance and standard deviation using the chi square distribution. 

Lecture 28  03:03  
In this lecture,we use a real world problem to show how to compute a confidence interval about the population variance. 

Lecture 29  03:46  
In this lecture, we are using a real world example to illustrate how we compute the confidence interval for the population standard deviation. 

Quiz 18  1 question  
In this quiz, you will calculate the confidence interval of a population variance 

Quiz 19  1 question  
In this quiz, you will calculate a confidence interval of a population standard deviation 

Quiz 20  1 question  
In this quiz, you are asked to compute a confidence interval of the population standard deviation 

Section 10: Conclusion and final remarks  
Lecture 30 
Concluding remarks and what is next

06:25 
I have over 18 years of work experience in the field of statistics as an Applied Statistician. For the last twelve years, I have also been teaching undergraduate college level statistics courses at St Petersburg College. As an Applied Statistician, I have developed over the years a strong interest in using EXCEL as a statistical tool with my classes in order to give to the students real world handson experience with Statistics.