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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	615	157	793	287	718	464	288	641	508	111	261	369	92	211	289
Sales before	467	214	647	259	683	438	226	476	379	112	115	363	96	293	432

Use a 0.05 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.

(b) Give α.

(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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