Question

Is the following statement true or false? The t distribution has more probability in the tails than the N(0, 1) distribution because the fixed parameter σ has been replaced by the random variable s.
	This statement is true. This statement is false because σ is a variable, not s. This statement is false because the t distribution puts less probability in the tails than the N(0, 1) distribution does. This statement is false because σ and s are both fixed once the sample is taken.

Answer 1

This statement is true,

Please note that Tail heaviness is determined by a parameter of the T distribution called degrees of freedom, with smaller values giving heavier tails, and with higher values making the T distribution resemble a standard normal distribution with a mean of 0, and a standard deviation of 1.