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

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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.

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 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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