Test of Two Variances · Try It 1

The New York Choral Society divides male singers up into four categories from highest voices to lowest: Tenor1, Tenor2, Bass1, Bass2. In the table are heights of the men in the Tenor1 and Bass2 groups. One suspects that taller men will have lower voices, and that the variance of height may go up with the lower voices as well. Do we have good evidence that the variance of the heights of singers in each of these two groups (Tenor1 and Bass2) are different?

$$\begin{array}{cccccc}\text{Tenor1}& \text{Bass 2}& \text{Tenor 1}& \text{Bass 2}& \text{Tenor 1}& \text{Bass 2}\\ \text{69}& \text{72}& \text{67}& \text{72}& \text{68}& \text{67}\\ \text{72}& \text{75}& \text{70}& \text{74}& \text{67}& \text{70}\\ \text{71}& \text{67}& \text{65}& \text{70}& \text{64}& \text{70}\\ \text{66}& \text{75}& \text{72}& \text{66}& & \text{69}\\ \text{76}& \text{74}& \text{70}& \text{68}& & \text{72}\\ \text{74}& \text{72}& \text{68}& \text{75}& & \text{71}\\ \text{71}& \text{72}& \text{64}& \text{68}& & \text{74}\\ \text{66}& \text{74}& \text{73}& \text{70}& & \text{75}\\ \text{68}& \text{72}& \text{66}& \text{72}& & \end{array}$$

OpenStax, Introductory Business Statistics 2e · §12.1 Test of Two Variances · Try It 1