Final answer:
Option C). The sampling distribution of the estimated variance is characterized as being skewed to the right, following the chi-square distribution.
Step-by-step explanation:
The characterisation of the sample distribution of the estimated variance is the subject of the ISYE 6414 question. The right side of the accurate characterisation is slanted. This is consistent with the characteristics of the chi-square distribution, which is the distribution that the estimated variance sampling distribution follows when the underlying data is normally distributed. It is well known that the chi-square distribution is right-skewed, and that the degrees of freedom (df) affect how it is shaped. The chi-square distribution is right-skewed for most useful sample sizes used to measure variance, but it approximates a normal distribution as the degrees of freedom rise.