Respuesta :
Answer: D. The distribution of sample variances tends to be a normal distribution.
Step-by-step explanation:
The properties of the sampling distribution of the variance include:
• The expected value of the sample variance is equal to the population variance.
• The mean of the sample variances is the population variance.
• The sample variances target the value of the population variance.
Therefore, the option that isn't a property of the sampling distribution of the variance will be option D "The distribution of sample variances tends to be a normal distribution".
We should note that the sampling distribution came came in place as a result of the central limit theorem. The sample variance gives a true representation of the variance of the population as it is an unbiased estimator.
The one that does not demonstrate a property of variance's sampling distribution would be:
D). The distribution of sample variances tends to be a normal distribution.
Sampling Distribution Property
The variance's sampling distribution property states that:
- The variance or the difference of population is equivalent to the sample variance's estimated value.
- The mean deduced by the sample variances is similar to the difference/variance of the population.
- The purpose of sample variance aims toward the value denoted by population variance.
As per the question, the fourth statement does not exemplify one of its properties as the distribution displayed by sample variances is inclined towards normal distribution.
Thus, option D is the correct answer.
Learn more about "Variance" here:
brainly.com/question/9431483
