Professor Adams wrote a book called Improving Your Memory. The professor claims that if you follow the program outlined in the book, your memory will definitely improve. Fifteen people took the professor's course, in which the book and its program were used. On the first day of class, everyone took a memory exam; and on the last day, everyone took a similar exam. The paired scores for each person follow.
Professor Adams wrote a book called Improving Your Memory. The professor claims that if you follow the program outlined in the book, your memory will definitely improve. Fifteen people took the professor's course, in which the book and its program were used. On the first day of class, everyone took a memory exam; and on the last day, everyone took a similar exam. The paired scores for each person follow.
| Last exam | 223 | 122 | 117 | 274 | 89 | 77 | 112 | 207 | 91 | 132 | 173 | 113 | 217 | 289 | 71 |
| First exam | 171 | 116 | 116 | 209 | 66 | 87 | 168 | 199 | 77 | 111 | 143 | 19 | 196 | 242 | 91 |
Use a 0.01 level of significance to test the null hypothesis that the scores are the same whether or not people have taken the course against the alternate hypothesis that the scores of people who have taken the course are higher.
1.) Find the sample test statistic. (Use 2 decimal places for the value of x in your calculations. Use 2 decimal places for your answer.)
2.) For the sign test, rank-sum test, and Spearman
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