10.121 Sucrose, ordinary table sugar, is probably the single most abundant pure organic chemical in the world and the one most widely known to nonchemists.

Whether from sugar cane (20% by weight) or sugar beets (15% by weight), and whether raw or refined, common sugar is still sucrose. Fifteen U.S. sugar beet–producing counties were randomly selected, and their 2001 sucrose percentages gave a standard deviation of 0.862.

Similarly, twelve U.S. sugar cane–producing counties were randomly selected, and their 2001 sucrose percentages recorded a standard deviation of 0.912. At the 0.05 level, is there significant difference between the standard deviations for sugar beet and sugar cane sucrose percentages?