An experimenter measured the Young's modulus values of silicon carbide-silica biaxial nanowires. These synthesized nanowires are potentially useful for high-strength composites in which mechanical properties are critical. DS 11.4.1 gives a completely randomized design consisting of the Young's modulus measurements for samples of nanowires of four different types. Perform hand calculations to investigate whether there are any significant differences in the average Young's modulus of the four different types of nanowire.