Uploaded May 2013 | Updated September 2026, 2 hours ago
Introduction to confidence intervals for mu based on the t distribution. These methods are appropriate when we are sampling from a normally distributed population and the population standard deviation (sigma) is not known.
The cereal data used in this video is real data from a sample of 7 cereal boxes I purchased one day. The boxes had a stated weight of 750 grams. (I've changed the story slightly in the video, but it is real data.)
For those that use R, below is the R code to find the values given in the video.
With 6 degrees of freedom, the t value with an area of 0.025 to the right (and thus an area of 0.975 to the left), can be found with:
qt(.975,6)
[1] 2.446912
Introduction to confidence intervals for mu based on the t distribution. These methods are appropriate when we are sampling from a normally distributed population and the population standard deviation (sigma) is not known.
The cereal data used in this video is real data from a sample of 7 cereal boxes I purchased one day. The boxes had a stated weight of 750 grams. (I've changed the story slightly in the video, but it is real data.)
For those that use R, below is the R code to find the values given in the video.
With 6 degrees of freedom, the t value with an area of 0.025 to the right (and thus an area of 0.975 to the left), can be found with:
qt(.975,6)
[1] 2.446912










![The Relationship Between the Binomial and Poisson Distributions
A look at the relationship between the binomial and Poisson distributions (roughly, that the Poisson distribution approximates the binomial for large n and small p). I work through some calculations in an example, showing that the approximate probability from the Poisson can be quite close to the exact probability from the binomial distribution.
(The example used involves albinism. Albinism affects all races, but the rates of albinism vary a little around the world. In Europe and North America, roughly 1 in 20,000 people have some form of albinism).
For those using R, here is the R code to find the probabilities for the example in this video:
Finding the probability of getting exactly 2 with albinism in a random sample of 1000 Europeans.
Binomial (exact):
dbinom(2,1000,1/20000)
[1] 0.001187965
Poisson (approximate):
dpois(2,1000*1/20000)
[1] 0.001189037 The Relationship Between the Binomial and Poisson Distributions](https://i.ytimg.com/vi/eexQyHj6hEA/mqdefault.jpg)