Answer A-D A golf instructor wants to determine if the drive distance is differe

ID: 3125743 • Letter: A

Question

Answer A-D A golf instructor wants to determine if the drive distance is different for three golf ball brands. The instructor has several of his students drive the different brands and collects the following data. Construct a two-way (without interaction) ANOVA tabic for the data. At the 5% significance level, can you conclude the average drive distance differs by brand Explain why the golf instructor is not interested in the hypothesis test about the golfers. Explain why the golf instructor uses a two-way ANOVA rather than a oneway ANOVA for brand.

Explanation / Answer

A golf instructor wants to determine if the drive distance is different for three golf ball brands. The instructor has several of his students drive the different brands and collects the following data.

golfer

Miller

Sapphire

Cruiser

brad

275

350

295

will

300

525

380

huang

245

286

300

singh

220

256

286

woods

400

415

475

fisher

356

385

396

ANOVA

Source of Variation

P-value

F crit

golfer

77664.9444

15532.9889

7.638

0.0034

3.326

Brand

16520.1111

8260.0556

4.062

0.0511

4.103

Error

20335.2222

2033.5222

Total

114520.2778

Calculated F=4.062 < 4.103 the table value at 0.05 level.

The null hypothesis is not rejected. We conclude the average drive distance not differs by brand.

The golf instructor wants to determine if the drive distance is different for three golf ball brands and not the difference between the golfers.

d. Explain why the golf instructor uses a two-way ANOVA rather than a one-way ANOVA for brand.

The golf instructor uses a two-way ANOVA rather than a one-way ANOVA for brand to control the golfer variance if there any.