Consider a standard normally distributed variable, a t-distributed variable with d degrees of freedom, and an F-distributed variable with (1, d) degrees of freedom. Which of the following sta
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Consider a standard normally distributed variable, a t-distributed variable with d degrees of freedom, and an F-distributed variable with (1, d) degrees of freedom. Which of the following statements is FALSE?
The standard normal is a special case of the t-distribution, the square of which is a special case of the F-distribution
Since the three distributions are related, the 5% critical values from each will be the same
Asymptotically, a given test conducted using any of the three distributions will lead to the same conclusion
The normal and t- distributions are symmetric about zero while the F- takes only positive values