Question

A golf organization wants to test how durable two brands of golf balls are, Champ and Master. 10 balls of each brand are randomly selected and tested to see how many drives are needed before the ball cracks or breaks.Table listed with data below. alpha=.05 ? = .05 What can you conclude?

Champ    Master

270    364

334    302

301 350

307 348

298 396

290 325

315 342

305 359

325 327

331 355

Answer 1

	Champ	Master
Mean	307.6	346.8
Variance	385.3778	649.0667
Observations	10	10

Two variance test:

df1= n1-1=9

df2=n2-1=9

The test statistic:

P-value: 0.224684

The test statistic is not significant and failed to reject H0. There is sufficient evidence to support that teh variances are statistically equal

Two sample t test for equal variances:

df= n1+n2-2= 18

The test statistic:

Pooled variance:

P-value: 0.001162

The test statistic is significant and rejects H0. There is sufficient evidence to conclude that the two sample means are statistically different. Champ required less rounds than Master because t value is negative and significantly different.