Question

The normal distribution is also known as the Gaussian distribution and the “Bell-shaped curve”. Why is it also known by these two names (hint – search for this on the internet). Under what conditions do I choose to use the Student T distribution versus the Normal Distribution? Who developed the Student T distribution and for what use?

Answer 1

we use student t distribution when population standard deviation is unknown from which data is taken . t distribution has fatter tails than normal distribution.

if population has normal distribution but sample size is is not large enough than in the case distribution of sample will be also t distribution,.

William S. Gosset, for used to estimate population parameters when the sample size is small and/or when the population variance is unknown.

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