An educational psychologist was interested in whether using a student's own name in a story affected children's attention span while reading. Six children were randomly assigned to read a story under ordinary conditions (using names like Dick and Jane). Five other children read versions of the same story, but with each child's own name substituted for one of the children in the story. The researcher kept a careful measure of how long it took each child to read the story. The results are shown in the following table. Using the .05 level, does including the child's name make any difference?
(a) Use the steps of hypothesis testing.
(b) Sketch the distributions involved.
(c) Explain your answers to someone who has never had a course in statistics.