Question

Data were collected on the following variables.

Which variable is LEAST likely to be approximated with a normal model?

• A. The distribution of heights of tomato plants growing at an agricultural center, where most heights cluster around the center and there are some very short and very tall heights.
• B. The distribution of times that a certain brand of house paint lasts on a house, where the distribution is symmetric and bell-shaped.
• C. The distribution of lengths of the trout living in a certain stream, where the distribution is unimodal and clustered around the center, and the left half is a mirror image of the right half.
• D. The distribution of weights of mold samples growing in a laboratory, where the distribution is symmetric, unimodal, and does not have any outliers
• E. The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left.

Answer 1

The correct option is E

The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left.

Explanation for the correct option:

Finding the variable that is LEAST likely to be approximated with a normal model?

The normal distribution has the following properties:

i) Symmetric

ii) unimodal

iii)asymptotic

The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left.

This distribution is not symmetric.

Therefore, It is not a normal distribution.

Hence, the correct answer is option $\left(E\right)$.