Decide whether the following statement is true or false The

Decide whether the following statement is true or false.

The standard deviation of the chi-square distribution is twice the mean.

Solution

Decide whether the following statement is true or false.

The standard deviation of the chi-square distribution is twice the mean.

statement is false.

The chi-square distribution has

The mean of the distribution is equal to the number of degrees of freedom: ? = v.

The variance is equal to two times the number of degrees of freedom: ?² = 2 * v

Variance of the chi-square distribution is twice the mean not the standard deviation.