Question

Which of the following is NOT a requirement of constructing a confidence interval estimate for a population​ variance?

Choose the correct answer below.
A. The sample is a simple random sample.
B. The population must be skewed to the right.
C. A histogram of the data must be​ bell-shaped.
D. The population must have normally distributed values.

Answer 1

B

Explanation:

To construct a confidence interval estimate, the sample must be randomized. Hence option A is a requirement.

The data must follow normal distribution pattern or at least nearly normal distribution condition. Hence, option D is also a must for confidence interval estimate.

Normal distribution can be shown with a data with histogram graph with a bell-shaped showing a balanced proportion of data, hence option C is also true.

While option B with population skewed to the right shows negative distribution which will have mean to the right of the median. Hence B is not the requirement for confidence interval estimate for a population variance.