课程: Probability Foundations for Data Science

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t distribution

t distribution

- [Instructor] Next is the t distribution. The t distribution works with continuous random variables where it estimates the mean of a normally distributed population in situations where the sample size is small, and the population standard deviation is unknown. This typically means less than 30 samples of data. It is defined by degrees of freedom, which directly relate to the size of the sample. This is also known as student's t distribution named after the paper William Sealy Gosset published in 1908 under the pseudonym "student." The t distribution generalizes the normal distribution for smaller samples. This means it still has that bell-curve shape. As the degrees of freedom grow large, though, the t distribution converges to the normal distribution due to it meeting the larger sample size requirements. This distribution is also heavily used in hypothesis testing and creating confidence intervals. The t distribution is defined by one variable. The one variable is v, and it…

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