Jessica wondered if elementary school students tend to write more when they are given a larger amount of space in which to write. To investigate, she asked 100 fourth and fifth grade students to respond to the fol- lowing prompt: "Do you like recess? Why or why not?" About half of the students were randomly assigned to use a larger 1/4-sheet of paper to write their response and the remaining students were assigned a smaller 1/6-sheet of paper. After the students finished, Jessica counted the number of words in each response. Sum- mary statistics for each group are shown in the table. Group n Mean Standard Deviation Larger sheet 46 18.3 8.5 Smaller sheet 54 16.9 7.9 (a) Calculate and interpret a 95% confidence inter- val for the difference in mean number of words written for students like these who are asked to respond to the prompt on either a 1/4-sheet of paper or a 1/6-sheet of paper. (b) Based only on the confidence interval from part (a), is there convincing evidence that the size of the paper affects the mean number of words writ- ten for students like these