A researcher thinks that people under the age of forty have vocabularies different from those of people over sixty years of age. The researcher administers a vocabulary test to a group of 50 younger subjects and to a group of 50 older subjects. Higher scores reflect better performance. The mean score for younger subjects was 9.0, and the standard deviation of younger subject's scores was 5.0. The mean score for older subjects was 20.0, and the standard deviation of older subject's scores was 8.0. Does this experiment provide evidence for the researcher's theory?