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This video introduces the language needed for the final section of the course on Statistics. Populations and Samples is a really important section of Mathematics and this video talks about the need to understand the terms and how they are used in questions. The video talks about population proportions, sample proportions, random samples and how they can be gained using the CAS.
This has to be one of my favourite videos at the moment as it deals with something which seems complicated but which, when you scratch the surface, isn't. Welcome to the video on the exact distribution of the sample proportion. Following on from the previous video, I take a look at how to find the mean and standard deviation of a sample proportion. We look at how, with large values of n, we can use the binomial approximation to find probabilities of sample proportions. We can also use combination theory too! A long but well-explained example (if I do say so myself) shows the power of the binomial distribution and sample proportions. So much fun had!
This video is number three of four which have dealt with sample proportion and population proportion. In this video, we look at how we can use the Normal Distribution to approximate for large values of n and p values which fall not too close to 0 and 1. I start by looking at the nature of the sample proportion and how it changes with each sample. We map this and find, for a large number of samples, we can see the distribution to be approximately normal. As we know the data is going to be Binomial in nature we can use the large value of n to help us use the Normal Distribution to approximate the sample distribution. I take a look at the theory behind why we can use the Normal Distribution to approximate for the Binomial Distribution we apply it to some examples and show how awesome it is.
This is the final video in the statistics series and I am really rather proud of this one. It looks at what a confidence interval is. I relate the initial theory to examples from real life and results you might have already received in national exams which can have confidence intervals. Showing how confidence intervals are interpreted and calculated we move onto a number of worked examples which highlight the theory.
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These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.