Chapter 11, Problem 1CR

Statistical Literacy of the following random variables, which have only nonnegative values: z, t, chi-square?

To determine

The random variable that has only non-negative values among z, t, chi-square.

Answer to Problem 1CR

Solution:

The random variable that has only non-negative values is chi-square.

Explanation of Solution

Among all the given three random variable z, t and chi-square, the chi-square variables have only non-negative values because chi-square distribution is right skewed.

If we graph the family of chi-square on a Cartesian coordinate system (x, y) coordinate plane, among three distributions mentioned only chi-square lie entirely in 1^st quadrant, which have both x and y as positive.