Please show octave screen or octave commands used.

Determine if the following are true or false: a. The sampling distribution of X is normal only if the distribution of X is normal. b. The estimate s is an unbiased estimator of . c. The probability distribution of a statistic is called a sampling distribution. d. The mean of the distribution of sample means is . e. If we use the Central Limit Theorem, then the distributions of X and X both have mean , but the distribution of X has a smaller standard deviation. f. If we consider all unbiased estimators of , the one with the smallest variance is called the minimum variance unbiased estimator (MVUE)