III. TRUE OR FALSE Directions: Write T if the statement is TRUE and F if the statement is FALSE. Write your answer on the space provided before each number. 31. The t - distribution is symmetric about 0 32. The variance id always greater than 1. It is equal to - where v is the number of degrees of freedom. 33. The mean, median and mode of Z - distribution are equal to zero. 34. The t- distribution is bell shaped like the normal distribution but has heavier tails. 35. As the degrees of freedom increase, the t- distribution curve looks more and more like the norma distribution. 36. The area on the right tail of t - distribution of 0.25 with 10 degrees of freedom has a t value of 1.100. 37. The total area under at t - distribution is 1 or 100%. 38. The area on the right tail of t - distribution of 0.05 with 15 degrees of freedom has a t value of 1.573. 39. The mean, median and the mode of the t - distribution are all equal to zero. 40. The standard deviation of the Z - distribution varies with the sample size