1. An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty years of age. The investigator administers a vocabulary test to a group of 21 younger subjects and to a group of 21 older subjects. Higher scores reect better performance. The mean score for younger subjects was 14.0 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 6.0. Does this experiment provide evidence for the investigator's theory? a. Please provide, in words, the null and alternative hypotheses. b. Provide the decision rule for rejecting the null hypothesis, including the critical valuels} for the appropriate statistic. c. Using an alpha level of .05, test the null hypothesis. As part of this test, please compare the actual value for the appropriate statistic against the critical valuels) for the appropriate statistic. d. State your conclusion regarding the results from this test in language that a friend of yours with no knowledge of statistics could understand