Answered: Professor Adams wrote a book called…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

(a) State the test used.

rank-sum test

runs test

sign test

spearman correlation test

answer: sign test

(b) Give ?.

answer: 0.01

(c) Find the sample test statistic. (Use 2 decimal places for the value of x in your calculations. Use 2 decimal places for your answer.)

(d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. (Use 4 decimal places.)

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