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Description: A chain of hardware stores is trying to sell more paint by mailing pamphlets describing the paint. In 15 communities containing one of these hardware stores, the paint sales (in dollars) were recorded for the months before and after the ads were sent

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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A chain of hardware stores is trying to sell more paint by mailing pamphlets describing the paint. In 15 communities containing one of these hardware stores, the paint sales (in dollars) were recorded for the months before and after the ads were sent out. The paired results for each store follow.

Sales after	614	155	797	282	717	462	285	644	509	112	262	362	92	219	285
Sales before	468	211	642	259	681	437	222	473	378	119	114	366	94	297	432

Use a 0.1 level of significance to test the null hypothesis that the advertising had no effect on sales against the alternate hypothesis that it improved sales.

(a) State the test used.

spearman correlation test

rank-sum test

runs test

sign test

answer: sign test

(b) Give ?.

answer: 0.1

(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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