Question 4 In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf Association randomly selects five balls of each brand and places each ball into a machine that exerts the force produced by a 250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. The results are given in Table 12.6. The Excel output of a one-way ANOVA of these data is shown in Figure 12.6. Test for statistically significant differences between the treatment means ALPHA MBEST CENTURY, and MDIVOT. Set a = .05. OS GolfBall FIGURE 12.6 Excel Output of a One-Way ANOVA of the Golf Ball Durability Data SUMMARY Tukey simultaneous comparison t-values (d.f. = 16) Groups Count Sum Average Variance Alpha Best Century 241.8 Divot 253.6 306.4 336.6 Alpha 5 1268 253.6 609.3 Century 241.8 Best 5 1532 306.4 740.3 Alpha 253.6 0.76 Century 5 1209 241.8 469.7 Best 306.4 4.15 3.39 Divot 5 1683 336.6 605.3 Divot 336.6 6.09 5.33 1.94 Critical values for experimentwise error rate ANOVA 0.05 2.86 Source of Variation MS F P-Value 0.01 3.67 Between Groups 9953.4667 16.420798 3.853E-05 Within Groups 606.15 Total SS 29860.4 9698.4 39558.8 TABLE 12.6 Golf Ball Durability Test Results DS GolfBall Brand Alpha Best 281 270 220 334 274 307 242 290 251 331 Century Divot 218 364 244 302 225 325 273 337 249 355 df 3 16 19 F crit 3.2388715

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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Transcribed Image Text:Question 4 In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf Association randomly selects five balls of each brand and places each ball into a machine that exerts the force produced by a 250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. The results are given in Table 12.6. The Excel output of a one-way ANOVA of these data is shown in Figure 12.6. Test for statistically significant differences between the treatment means ALPHA BEST CENTURY, and MDIVOT. Set a = .05. OS GolfBall FIGURE 12.6 Excel Output of a One-Way ANOVA of the Golf Ball Durability Data SUMMARY Tukey simultaneous comparison t-values (d.f. = 16) Count Groups Sum Average Variance Century Alpha Best Divot 241.8 253.6 306.4 336.6 Alpha 5 1268 253.6 609.3 Century 241.8 Best 5 1532 306.4 740.3 Alpha 253.6 0.76 5 1209 241.8 469.7 Best 306.4 4.15 3.39 Century Divot 5 1683 336.6 605.3 Divot 336.6 6.09 5.33 1.94 Critical values for experimentwise error rate: 0.05 ANOVA 2.86 Source of Variation F P-Value F crit 3.2388715 0.01 3.67 Between Groups 16.420798 3.853E-05 Within Groups Total SS 29860.4 9698.4 39558.8 TABLE 12.6 Golf Ball Durability Test Results DS GolfBall Brand Alpha Best 281 270 220 334 274 307 242 290 251 331 Century Divot 218 364 244 302 225 325 273 337 249 355 df 3 16 19 MS 9953.4667 606.15

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