When constructing confidence interval estimates a comparison

When constructing confidence interval estimates, a comparison of the critical values obtained from the z and t distributions for the same level of confidence we can say: the z-critical value will be the same size as the t-critical value. the z-critical value will always be smaller than the t-critical value. the z-critical value will always be larger than the t-critical value. we cannot compare the sizes of the critical values without knowing the degrees of freedom.

Solution

The critical value of t distrbution will always be larger because it is \"playing safe\", that is it wants to overshoot the value of the z distribution because we just don\'t know what the other parts of the population will be (as we just have a sample).

Hence,

OPTION B: The z-critical value will always be smaller than the t-critical value. [ANSWER]