The variance of the zdistribution is greater than the varian

The variance of the z-distribution is greater than the variance of the t-distribution.

Select one:

True

False

Solution

False, as the reason t distribution is something we use when sample size less than 30. For smaller sample size the standard deviation is more than larger sample size. As comparison variance is the square of standard deviation , i.e varainace of t distribution is larger to varaiance of z distribution.