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tcdf    Examples

Student's t cumulative distribution function (cdf).

Syntax

Description

tcdf(X,V) computes Student's t cdf with V degrees of freedom at the values in X. The arguments X and V must be the same size except that a scalar argument functions as a constant matrix of the same size of the other argument.

The parameter, V, is a positive integer.

The t cdf is:


The result, p, is the probability that a single observation from the t distribution with degrees of freedom will fall in the interval (- x].

Examples

Suppose 10 samples of Guinness beer have a mean alcohol content of 5.5% by volume and the standard deviation of these samples is 0.5%. What is the probability that the true alcohol content of Guinness beer is less than 5%?



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